Finding the Third Proportional to 1,242.50 and 1,945.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,242.50 : 1,945.75 = 1,945.75 : x
2. Step 2: Convert to fraction form
   1,242.50/1,945.75 = 1,945.75/x
3. Step 3: Cross multiply
   1,242.50x = 1,945.75 × 1,945.75
4. Step 4: Simplify right side
   1,242.50x = 3,785,943.06
5. Step 5: Solve for x
   x = 3,785,943.06/1,242.50
6. Step 6: Final answer
   x = 3,047.04