Finding the Third Proportional to 8,320 and 10,102

Step by Step Solution

1. Step 1: Write the proportion equation
   8,320 : 10,102 = 10,102 : x
2. Step 2: Convert to fraction form
   8,320/10,102 = 10,102/x
3. Step 3: Cross multiply
   8,320x = 10,102 × 10,102
4. Step 4: Simplify right side
   8,320x = 102,050,404
5. Step 5: Solve for x
   x = 102,050,404/8,320
6. Step 6: Final answer
   x = 12,265.67