Finding the Third Proportional to 10,057 and 14,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057 : 14,782 = 14,782 : x
2. Step 2: Convert to fraction form
   10,057/14,782 = 14,782/x
3. Step 3: Cross multiply
   10,057x = 14,782 × 14,782
4. Step 4: Simplify right side
   10,057x = 218,507,524
5. Step 5: Solve for x
   x = 218,507,524/10,057
6. Step 6: Final answer
   x = 21,726.91