Finding the Third Proportional to 765 and 1,672.59

Step by Step Solution

1. Step 1: Write the proportion equation
   765 : 1,672.59 = 1,672.59 : x
2. Step 2: Convert to fraction form
   765/1,672.59 = 1,672.59/x
3. Step 3: Cross multiply
   765x = 1,672.59 × 1,672.59
4. Step 4: Simplify right side
   765x = 2,797,569.85
5. Step 5: Solve for x
   x = 2,797,569.85/765
6. Step 6: Final answer
   x = 3,656.95