Finding the Third Proportional to 648.50 and 1,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   648.50 : 1,397.50 = 1,397.50 : x
2. Step 2: Convert to fraction form
   648.50/1,397.50 = 1,397.50/x
3. Step 3: Cross multiply
   648.50x = 1,397.50 × 1,397.50
4. Step 4: Simplify right side
   648.50x = 1,953,006.25
5. Step 5: Solve for x
   x = 1,953,006.25/648.50
6. Step 6: Final answer
   x = 3,011.57