Finding the Third Proportional to 1,079.25 and 1,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,079.25 : 1,669.50 = 1,669.50 : x
2. Step 2: Convert to fraction form
   1,079.25/1,669.50 = 1,669.50/x
3. Step 3: Cross multiply
   1,079.25x = 1,669.50 × 1,669.50
4. Step 4: Simplify right side
   1,079.25x = 2,787,230.25
5. Step 5: Solve for x
   x = 2,787,230.25/1,079.25
6. Step 6: Final answer
   x = 2,582.56