Finding the Third Proportional to 5,077.50 and 10,674.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 10,674.75 = 10,674.75 : x
2. Step 2: Convert to fraction form
   5,077.50/10,674.75 = 10,674.75/x
3. Step 3: Cross multiply
   5,077.50x = 10,674.75 × 10,674.75
4. Step 4: Simplify right side
   5,077.50x = 113,950,287.56
5. Step 5: Solve for x
   x = 113,950,287.56/5,077.50
6. Step 6: Final answer
   x = 22,442.20