Finding the Third Proportional to 5,583.75 and 7,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,583.75 : 7,691.25 = 7,691.25 : x
2. Step 2: Convert to fraction form
   5,583.75/7,691.25 = 7,691.25/x
3. Step 3: Cross multiply
   5,583.75x = 7,691.25 × 7,691.25
4. Step 4: Simplify right side
   5,583.75x = 59,155,326.56
5. Step 5: Solve for x
   x = 59,155,326.56/5,583.75
6. Step 6: Final answer
   x = 10,594.19