Finding the Third Proportional to 11,338 and 12,431

Step by Step Solution

1. Step 1: Write the proportion equation
   11,338 : 12,431 = 12,431 : x
2. Step 2: Convert to fraction form
   11,338/12,431 = 12,431/x
3. Step 3: Cross multiply
   11,338x = 12,431 × 12,431
4. Step 4: Simplify right side
   11,338x = 154,529,761
5. Step 5: Solve for x
   x = 154,529,761/11,338
6. Step 6: Final answer
   x = 13,629.37