Finding the Third Proportional to 7,888,908,006,334 and 16,965,069,540,144

Step by Step Solution

1. Step 1: Write the proportion equation
   7,888,908,006,334 : 16,965,069,540,144 = 16,965,069,540,144 : x
2. Step 2: Convert to fraction form
   7,888,908,006,334/16,965,069,540,144 = 16,965,069,540,144/x
3. Step 3: Cross multiply
   7,888,908,006,334x = 16,965,069,540,144 × 16,965,069,540,144
4. Step 4: Simplify right side
   7,888,908,006,334x = 287,813,584,501,921,760,820,592,640
5. Step 5: Solve for x
   x = 287,813,584,501,921,760,820,592,640/7,888,908,006,334
6. Step 6: Final answer
   x = 36,483,323,708,533.09