Finding the Third Proportional to 5,632 and 12,478

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632 : 12,478 = 12,478 : x
2. Step 2: Convert to fraction form
   5,632/12,478 = 12,478/x
3. Step 3: Cross multiply
   5,632x = 12,478 × 12,478
4. Step 4: Simplify right side
   5,632x = 155,700,484
5. Step 5: Solve for x
   x = 155,700,484/5,632
6. Step 6: Final answer
   x = 27,645.68