Finding the Third Proportional to 12,434 and 13,538

Step by Step Solution

1. Step 1: Write the proportion equation
   12,434 : 13,538 = 13,538 : x
2. Step 2: Convert to fraction form
   12,434/13,538 = 13,538/x
3. Step 3: Cross multiply
   12,434x = 13,538 × 13,538
4. Step 4: Simplify right side
   12,434x = 183,277,444
5. Step 5: Solve for x
   x = 183,277,444/12,434
6. Step 6: Final answer
   x = 14,740.02