Finding the Third Proportional to 32,896 and 72,350

Step by Step Solution

1. Step 1: Write the proportion equation
   32,896 : 72,350 = 72,350 : x
2. Step 2: Convert to fraction form
   32,896/72,350 = 72,350/x
3. Step 3: Cross multiply
   32,896x = 72,350 × 72,350
4. Step 4: Simplify right side
   32,896x = 5,234,522,500
5. Step 5: Solve for x
   x = 5,234,522,500/32,896
6. Step 6: Final answer
   x = 159,123.37