Finding the Third Proportional to 5,008.50 and 7,785.84

Step by Step Solution

1. Step 1: Write the proportion equation
   5,008.50 : 7,785.84 = 7,785.84 : x
2. Step 2: Convert to fraction form
   5,008.50/7,785.84 = 7,785.84/x
3. Step 3: Cross multiply
   5,008.50x = 7,785.84 × 7,785.84
4. Step 4: Simplify right side
   5,008.50x = 60,619,362.90
5. Step 5: Solve for x
   x = 60,619,362.90/5,008.50
6. Step 6: Final answer
   x = 12,103.30