Finding the Third Proportional to 33,632 and 71,672

Step by Step Solution

1. Step 1: Write the proportion equation
   33,632 : 71,672 = 71,672 : x
2. Step 2: Convert to fraction form
   33,632/71,672 = 71,672/x
3. Step 3: Cross multiply
   33,632x = 71,672 × 71,672
4. Step 4: Simplify right side
   33,632x = 5,136,875,584
5. Step 5: Solve for x
   x = 5,136,875,584/33,632
6. Step 6: Final answer
   x = 152,737.74