Finding the Third Proportional to 42,538 and 62,632

Step by Step Solution

1. Step 1: Write the proportion equation
   42,538 : 62,632 = 62,632 : x
2. Step 2: Convert to fraction form
   42,538/62,632 = 62,632/x
3. Step 3: Cross multiply
   42,538x = 62,632 × 62,632
4. Step 4: Simplify right side
   42,538x = 3,922,767,424
5. Step 5: Solve for x
   x = 3,922,767,424/42,538
6. Step 6: Final answer
   x = 92,217.96