Finding the Third Proportional to 10,587 and 22,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,587 : 22,632 = 22,632 : x
2. Step 2: Convert to fraction form
   10,587/22,632 = 22,632/x
3. Step 3: Cross multiply
   10,587x = 22,632 × 22,632
4. Step 4: Simplify right side
   10,587x = 512,207,424
5. Step 5: Solve for x
   x = 512,207,424/10,587
6. Step 6: Final answer
   x = 48,380.79