Finding the Third Proportional to 10,566 and 13,905

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 13,905 = 13,905 : x
2. Step 2: Convert to fraction form
   10,566/13,905 = 13,905/x
3. Step 3: Cross multiply
   10,566x = 13,905 × 13,905
4. Step 4: Simplify right side
   10,566x = 193,349,025
5. Step 5: Solve for x
   x = 193,349,025/10,566
6. Step 6: Final answer
   x = 18,299.17