Finding the Third Proportional to 1,325.25 and 2,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.25 : 2,023.50 = 2,023.50 : x
2. Step 2: Convert to fraction form
   1,325.25/2,023.50 = 2,023.50/x
3. Step 3: Cross multiply
   1,325.25x = 2,023.50 × 2,023.50
4. Step 4: Simplify right side
   1,325.25x = 4,094,552.25
5. Step 5: Solve for x
   x = 4,094,552.25/1,325.25
6. Step 6: Final answer
   x = 3,089.65