Finding the Third Proportional to 6,520 and 10,624

Step by Step Solution

1. Step 1: Write the proportion equation
   6,520 : 10,624 = 10,624 : x
2. Step 2: Convert to fraction form
   6,520/10,624 = 10,624/x
3. Step 3: Cross multiply
   6,520x = 10,624 × 10,624
4. Step 4: Simplify right side
   6,520x = 112,869,376
5. Step 5: Solve for x
   x = 112,869,376/6,520
6. Step 6: Final answer
   x = 17,311.25