Finding the Third Proportional to 10,056 and 14,744

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056 : 14,744 = 14,744 : x
2. Step 2: Convert to fraction form
   10,056/14,744 = 14,744/x
3. Step 3: Cross multiply
   10,056x = 14,744 × 14,744
4. Step 4: Simplify right side
   10,056x = 217,385,536
5. Step 5: Solve for x
   x = 217,385,536/10,056
6. Step 6: Final answer
   x = 21,617.50