Finding the Third Proportional to 760.69 and 1,651.69

Step by Step Solution

1. Step 1: Write the proportion equation
   760.69 : 1,651.69 = 1,651.69 : x
2. Step 2: Convert to fraction form
   760.69/1,651.69 = 1,651.69/x
3. Step 3: Cross multiply
   760.69x = 1,651.69 × 1,651.69
4. Step 4: Simplify right side
   760.69x = 2,728,071.60
5. Step 5: Solve for x
   x = 2,728,071.60/760.69
6. Step 6: Final answer
   x = 3,586.32