Finding the Third Proportional to 10,564 and 13,414

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 13,414 = 13,414 : x
2. Step 2: Convert to fraction form
   10,564/13,414 = 13,414/x
3. Step 3: Cross multiply
   10,564x = 13,414 × 13,414
4. Step 4: Simplify right side
   10,564x = 179,935,396
5. Step 5: Solve for x
   x = 179,935,396/10,564
6. Step 6: Final answer
   x = 17,032.88