Finding the Third Proportional to 772.45 and 1,641.52

Step by Step Solution

1. Step 1: Write the proportion equation
   772.45 : 1,641.52 = 1,641.52 : x
2. Step 2: Convert to fraction form
   772.45/1,641.52 = 1,641.52/x
3. Step 3: Cross multiply
   772.45x = 1,641.52 × 1,641.52
4. Step 4: Simplify right side
   772.45x = 2,694,573.55
5. Step 5: Solve for x
   x = 2,694,573.55/772.45
6. Step 6: Final answer
   x = 3,488.33