Finding the Third Proportional to 1,275.75 and 1,971.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.75 : 1,971.56 = 1,971.56 : x
2. Step 2: Convert to fraction form
   1,275.75/1,971.56 = 1,971.56/x
3. Step 3: Cross multiply
   1,275.75x = 1,971.56 × 1,971.56
4. Step 4: Simplify right side
   1,275.75x = 3,887,058.69
5. Step 5: Solve for x
   x = 3,887,058.69/1,275.75
6. Step 6: Final answer
   x = 3,046.88