Finding the Third Proportional to 5,766.75 and 10,666.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,766.75 : 10,666.13 = 10,666.13 : x
2. Step 2: Convert to fraction form
   5,766.75/10,666.13 = 10,666.13/x
3. Step 3: Cross multiply
   5,766.75x = 10,666.13 × 10,666.13
4. Step 4: Simplify right side
   5,766.75x = 113,766,222.52
5. Step 5: Solve for x
   x = 113,766,222.52/5,766.75
6. Step 6: Final answer
   x = 19,727.96