Finding the Third Proportional to 5,766.19 and 10,666.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,766.19 : 10,666.69 = 10,666.69 : x
2. Step 2: Convert to fraction form
   5,766.19/10,666.69 = 10,666.69/x
3. Step 3: Cross multiply
   5,766.19x = 10,666.69 × 10,666.69
4. Step 4: Simplify right side
   5,766.19x = 113,778,222.22
5. Step 5: Solve for x
   x = 113,778,222.22/5,766.19
6. Step 6: Final answer
   x = 19,731.97