Finding the Third Proportional to 1,244.50 and 1,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,244.50 : 1,385.50 = 1,385.50 : x
2. Step 2: Convert to fraction form
   1,244.50/1,385.50 = 1,385.50/x
3. Step 3: Cross multiply
   1,244.50x = 1,385.50 × 1,385.50
4. Step 4: Simplify right side
   1,244.50x = 1,919,610.25
5. Step 5: Solve for x
   x = 1,919,610.25/1,244.50
6. Step 6: Final answer
   x = 1,542.48