Finding the Third Proportional to 6,560 and 10,432

Step by Step Solution

1. Step 1: Write the proportion equation
   6,560 : 10,432 = 10,432 : x
2. Step 2: Convert to fraction form
   6,560/10,432 = 10,432/x
3. Step 3: Cross multiply
   6,560x = 10,432 × 10,432
4. Step 4: Simplify right side
   6,560x = 108,826,624
5. Step 5: Solve for x
   x = 108,826,624/6,560
6. Step 6: Final answer
   x = 16,589.42