Finding the Third Proportional to 7,664 and 10,315

Step by Step Solution

1. Step 1: Write the proportion equation
   7,664 : 10,315 = 10,315 : x
2. Step 2: Convert to fraction form
   7,664/10,315 = 10,315/x
3. Step 3: Cross multiply
   7,664x = 10,315 × 10,315
4. Step 4: Simplify right side
   7,664x = 106,399,225
5. Step 5: Solve for x
   x = 106,399,225/7,664
6. Step 6: Final answer
   x = 13,882.99