Finding the Third Proportional to 6,424.31 and 13,987.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424.31 : 13,987.69 = 13,987.69 : x
2. Step 2: Convert to fraction form
   6,424.31/13,987.69 = 13,987.69/x
3. Step 3: Cross multiply
   6,424.31x = 13,987.69 × 13,987.69
4. Step 4: Simplify right side
   6,424.31x = 195,655,401.60
5. Step 5: Solve for x
   x = 195,655,401.60/6,424.31
6. Step 6: Final answer
   x = 30,455.46