Finding the Third Proportional to 5,007 and 7,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,007 : 7,785.50 = 7,785.50 : x
2. Step 2: Convert to fraction form
   5,007/7,785.50 = 7,785.50/x
3. Step 3: Cross multiply
   5,007x = 7,785.50 × 7,785.50
4. Step 4: Simplify right side
   5,007x = 60,614,010.25
5. Step 5: Solve for x
   x = 60,614,010.25/5,007
6. Step 6: Final answer
   x = 12,105.85