Finding the Third Proportional to 5,110.50 and 7,691.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,110.50 : 7,691.06 = 7,691.06 : x
2. Step 2: Convert to fraction form
   5,110.50/7,691.06 = 7,691.06/x
3. Step 3: Cross multiply
   5,110.50x = 7,691.06 × 7,691.06
4. Step 4: Simplify right side
   5,110.50x = 59,152,442.38
5. Step 5: Solve for x
   x = 59,152,442.38/5,110.50
6. Step 6: Final answer
   x = 11,574.69