Finding the Third Proportional to 772.56 and 1,666.56

Step by Step Solution

1. Step 1: Write the proportion equation
   772.56 : 1,666.56 = 1,666.56 : x
2. Step 2: Convert to fraction form
   772.56/1,666.56 = 1,666.56/x
3. Step 3: Cross multiply
   772.56x = 1,666.56 × 1,666.56
4. Step 4: Simplify right side
   772.56x = 2,777,430.57
5. Step 5: Solve for x
   x = 2,777,430.57/772.56
6. Step 6: Final answer
   x = 3,595.09