Finding the Third Proportional to 6,127.75 and 9,145.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,127.75 : 9,145.88 = 9,145.88 : x
2. Step 2: Convert to fraction form
   6,127.75/9,145.88 = 9,145.88/x
3. Step 3: Cross multiply
   6,127.75x = 9,145.88 × 9,145.88
4. Step 4: Simplify right side
   6,127.75x = 83,647,029.52
5. Step 5: Solve for x
   x = 83,647,029.52/6,127.75
6. Step 6: Final answer
   x = 13,650.53