Finding the Third Proportional to 766.55 and 1,654.17

Step by Step Solution

1. Step 1: Write the proportion equation
   766.55 : 1,654.17 = 1,654.17 : x
2. Step 2: Convert to fraction form
   766.55/1,654.17 = 1,654.17/x
3. Step 3: Cross multiply
   766.55x = 1,654.17 × 1,654.17
4. Step 4: Simplify right side
   766.55x = 2,736,284.59
5. Step 5: Solve for x
   x = 2,736,284.59/766.55
6. Step 6: Final answer
   x = 3,569.62