Finding the Third Proportional to 10,414 and 16,560

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414 : 16,560 = 16,560 : x
2. Step 2: Convert to fraction form
   10,414/16,560 = 16,560/x
3. Step 3: Cross multiply
   10,414x = 16,560 × 16,560
4. Step 4: Simplify right side
   10,414x = 274,233,600
5. Step 5: Solve for x
   x = 274,233,600/10,414
6. Step 6: Final answer
   x = 26,333.17