Finding the Third Proportional to 6,384.75 and 8,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384.75 : 8,581.50 = 8,581.50 : x
2. Step 2: Convert to fraction form
   6,384.75/8,581.50 = 8,581.50/x
3. Step 3: Cross multiply
   6,384.75x = 8,581.50 × 8,581.50
4. Step 4: Simplify right side
   6,384.75x = 73,642,142.25
5. Step 5: Solve for x
   x = 73,642,142.25/6,384.75
6. Step 6: Final answer
   x = 11,534.07