Finding the Third Proportional to 32,781,986,504,360 and 72,893,557,311,328

Step by Step Solution

1. Step 1: Write the proportion equation
   32,781,986,504,360 : 72,893,557,311,328 = 72,893,557,311,328 : x
2. Step 2: Convert to fraction form
   32,781,986,504,360/72,893,557,311,328 = 72,893,557,311,328/x
3. Step 3: Cross multiply
   32,781,986,504,360x = 72,893,557,311,328 × 72,893,557,311,328
4. Step 4: Simplify right side
   32,781,986,504,360x = 5,313,470,697,499,859,822,237,974,528
5. Step 5: Solve for x
   x = 5,313,470,697,499,859,822,237,974,528/32,781,986,504,360
6. Step 6: Final answer
   x = 162,085,073,666,697.06