Finding the Third Proportional to 11,506 and 12,802

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506 : 12,802 = 12,802 : x
2. Step 2: Convert to fraction form
   11,506/12,802 = 12,802/x
3. Step 3: Cross multiply
   11,506x = 12,802 × 12,802
4. Step 4: Simplify right side
   11,506x = 163,891,204
5. Step 5: Solve for x
   x = 163,891,204/11,506
6. Step 6: Final answer
   x = 14,243.98