Finding the Third Proportional to 32,870 and 72,328

Step by Step Solution

1. Step 1: Write the proportion equation
   32,870 : 72,328 = 72,328 : x
2. Step 2: Convert to fraction form
   32,870/72,328 = 72,328/x
3. Step 3: Cross multiply
   32,870x = 72,328 × 72,328
4. Step 4: Simplify right side
   32,870x = 5,231,339,584
5. Step 5: Solve for x
   x = 5,231,339,584/32,870
6. Step 6: Final answer
   x = 159,152.41