Finding the Third Proportional to 38,648 and 58,632

Step by Step Solution

1. Step 1: Write the proportion equation
   38,648 : 58,632 = 58,632 : x
2. Step 2: Convert to fraction form
   38,648/58,632 = 58,632/x
3. Step 3: Cross multiply
   38,648x = 58,632 × 58,632
4. Step 4: Simplify right side
   38,648x = 3,437,711,424
5. Step 5: Solve for x
   x = 3,437,711,424/38,648
6. Step 6: Final answer
   x = 88,949.27