Finding the Third Proportional to 5,731.75 and 7,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,731.75 : 7,733.50 = 7,733.50 : x
2. Step 2: Convert to fraction form
   5,731.75/7,733.50 = 7,733.50/x
3. Step 3: Cross multiply
   5,731.75x = 7,733.50 × 7,733.50
4. Step 4: Simplify right side
   5,731.75x = 59,807,022.25
5. Step 5: Solve for x
   x = 59,807,022.25/5,731.75
6. Step 6: Final answer
   x = 10,434.34