Finding the Third Proportional to 6,129.75 and 13,425.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,129.75 : 13,425.38 = 13,425.38 : x
2. Step 2: Convert to fraction form
   6,129.75/13,425.38 = 13,425.38/x
3. Step 3: Cross multiply
   6,129.75x = 13,425.38 × 13,425.38
4. Step 4: Simplify right side
   6,129.75x = 180,240,693.89
5. Step 5: Solve for x
   x = 180,240,693.89/6,129.75
6. Step 6: Final answer
   x = 29,404.25