Finding the Third Proportional to 3,775.88 and 8,200.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,775.88 : 8,200.69 = 8,200.69 : x
2. Step 2: Convert to fraction form
   3,775.88/8,200.69 = 8,200.69/x
3. Step 3: Cross multiply
   3,775.88x = 8,200.69 × 8,200.69
4. Step 4: Simplify right side
   3,775.88x = 67,251,275.47
5. Step 5: Solve for x
   x = 67,251,275.47/3,775.88
6. Step 6: Final answer
   x = 17,810.78