Finding the Third Proportional to 10,566 and 13,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 13,896 = 13,896 : x
2. Step 2: Convert to fraction form
   10,566/13,896 = 13,896/x
3. Step 3: Cross multiply
   10,566x = 13,896 × 13,896
4. Step 4: Simplify right side
   10,566x = 193,098,816
5. Step 5: Solve for x
   x = 193,098,816/10,566
6. Step 6: Final answer
   x = 18,275.49