Finding the Third Proportional to 5,001.75 and 7,693.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,001.75 : 7,693.31 = 7,693.31 : x
2. Step 2: Convert to fraction form
   5,001.75/7,693.31 = 7,693.31/x
3. Step 3: Cross multiply
   5,001.75x = 7,693.31 × 7,693.31
4. Step 4: Simplify right side
   5,001.75x = 59,187,057.22
5. Step 5: Solve for x
   x = 59,187,057.22/5,001.75
6. Step 6: Final answer
   x = 11,833.27