Finding the Third Proportional to 11,265 and 12,471

Step by Step Solution

1. Step 1: Write the proportion equation
   11,265 : 12,471 = 12,471 : x
2. Step 2: Convert to fraction form
   11,265/12,471 = 12,471/x
3. Step 3: Cross multiply
   11,265x = 12,471 × 12,471
4. Step 4: Simplify right side
   11,265x = 155,525,841
5. Step 5: Solve for x
   x = 155,525,841/11,265
6. Step 6: Final answer
   x = 13,806.11