Finding the Third Proportional to 5,758.59 and 8,146.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,758.59 : 8,146.83 = 8,146.83 : x
2. Step 2: Convert to fraction form
   5,758.59/8,146.83 = 8,146.83/x
3. Step 3: Cross multiply
   5,758.59x = 8,146.83 × 8,146.83
4. Step 4: Simplify right side
   5,758.59x = 66,370,808.50
5. Step 5: Solve for x
   x = 66,370,808.50/5,758.59
6. Step 6: Final answer
   x = 11,525.52