Finding the Third Proportional to 11,275 and 12,463

Step by Step Solution

1. Step 1: Write the proportion equation
   11,275 : 12,463 = 12,463 : x
2. Step 2: Convert to fraction form
   11,275/12,463 = 12,463/x
3. Step 3: Cross multiply
   11,275x = 12,463 × 12,463
4. Step 4: Simplify right side
   11,275x = 155,326,369
5. Step 5: Solve for x
   x = 155,326,369/11,275
6. Step 6: Final answer
   x = 13,776.17