Finding the Third Proportional to 33,400 and 72,632

Step by Step Solution

1. Step 1: Write the proportion equation
   33,400 : 72,632 = 72,632 : x
2. Step 2: Convert to fraction form
   33,400/72,632 = 72,632/x
3. Step 3: Cross multiply
   33,400x = 72,632 × 72,632
4. Step 4: Simplify right side
   33,400x = 5,275,407,424
5. Step 5: Solve for x
   x = 5,275,407,424/33,400
6. Step 6: Final answer
   x = 157,946.33