Finding the Third Proportional to 10,448 and 24,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,448 : 24,632 = 24,632 : x
2. Step 2: Convert to fraction form
   10,448/24,632 = 24,632/x
3. Step 3: Cross multiply
   10,448x = 24,632 × 24,632
4. Step 4: Simplify right side
   10,448x = 606,735,424
5. Step 5: Solve for x
   x = 606,735,424/10,448
6. Step 6: Final answer
   x = 58,071.92