Finding the Third Proportional to 10,400 and 25,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 25,632 = 25,632 : x
2. Step 2: Convert to fraction form
   10,400/25,632 = 25,632/x
3. Step 3: Cross multiply
   10,400x = 25,632 × 25,632
4. Step 4: Simplify right side
   10,400x = 656,999,424
5. Step 5: Solve for x
   x = 656,999,424/10,400
6. Step 6: Final answer
   x = 63,173.02