Finding the Third Proportional to 32,897 and 72,355

Step by Step Solution

1. Step 1: Write the proportion equation
   32,897 : 72,355 = 72,355 : x
2. Step 2: Convert to fraction form
   32,897/72,355 = 72,355/x
3. Step 3: Cross multiply
   32,897x = 72,355 × 72,355
4. Step 4: Simplify right side
   32,897x = 5,235,246,025
5. Step 5: Solve for x
   x = 5,235,246,025/32,897
6. Step 6: Final answer
   x = 159,140.53