Finding the Third Proportional to 1,023.25 and 1,376.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.25 : 1,376.50 = 1,376.50 : x
2. Step 2: Convert to fraction form
   1,023.25/1,376.50 = 1,376.50/x
3. Step 3: Cross multiply
   1,023.25x = 1,376.50 × 1,376.50
4. Step 4: Simplify right side
   1,023.25x = 1,894,752.25
5. Step 5: Solve for x
   x = 1,894,752.25/1,023.25
6. Step 6: Final answer
   x = 1,851.70