Finding the Third Proportional to 9,332 and 12,814

Step by Step Solution

1. Step 1: Write the proportion equation
   9,332 : 12,814 = 12,814 : x
2. Step 2: Convert to fraction form
   9,332/12,814 = 12,814/x
3. Step 3: Cross multiply
   9,332x = 12,814 × 12,814
4. Step 4: Simplify right side
   9,332x = 164,198,596
5. Step 5: Solve for x
   x = 164,198,596/9,332
6. Step 6: Final answer
   x = 17,595.22