Finding the Third Proportional to 5,786.81 and 8,761.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786.81 : 8,761.31 = 8,761.31 : x
2. Step 2: Convert to fraction form
   5,786.81/8,761.31 = 8,761.31/x
3. Step 3: Cross multiply
   5,786.81x = 8,761.31 × 8,761.31
4. Step 4: Simplify right side
   5,786.81x = 76,760,596.72
5. Step 5: Solve for x
   x = 76,760,596.72/5,786.81
6. Step 6: Final answer
   x = 13,264.75