Finding the Third Proportional to 5,117.50 and 7,644.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,117.50 : 7,644.75 = 7,644.75 : x
2. Step 2: Convert to fraction form
   5,117.50/7,644.75 = 7,644.75/x
3. Step 3: Cross multiply
   5,117.50x = 7,644.75 × 7,644.75
4. Step 4: Simplify right side
   5,117.50x = 58,442,202.56
5. Step 5: Solve for x
   x = 58,442,202.56/5,117.50
6. Step 6: Final answer
   x = 11,420.07