Finding the Third Proportional to 773.72 and 1,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   773.72 : 1,669.50 = 1,669.50 : x
2. Step 2: Convert to fraction form
   773.72/1,669.50 = 1,669.50/x
3. Step 3: Cross multiply
   773.72x = 1,669.50 × 1,669.50
4. Step 4: Simplify right side
   773.72x = 2,787,230.25
5. Step 5: Solve for x
   x = 2,787,230.25/773.72
6. Step 6: Final answer
   x = 3,602.38