Finding the Third Proportional to 5,200.88 and 8,185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.88 : 8,185.88 = 8,185.88 : x
2. Step 2: Convert to fraction form
   5,200.88/8,185.88 = 8,185.88/x
3. Step 3: Cross multiply
   5,200.88x = 8,185.88 × 8,185.88
4. Step 4: Simplify right side
   5,200.88x = 67,008,549.52
5. Step 5: Solve for x
   x = 67,008,549.52/5,200.88
6. Step 6: Final answer
   x = 12,884.09