Finding the Third Proportional to 6,405.75 and 9,061.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405.75 : 9,061.88 = 9,061.88 : x
2. Step 2: Convert to fraction form
   6,405.75/9,061.88 = 9,061.88/x
3. Step 3: Cross multiply
   6,405.75x = 9,061.88 × 9,061.88
4. Step 4: Simplify right side
   6,405.75x = 82,117,578.52
5. Step 5: Solve for x
   x = 82,117,578.52/6,405.75
6. Step 6: Final answer
   x = 12,819.35