Finding the Third Proportional to 1,274.91 and 1,864.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.91 : 1,864.27 = 1,864.27 : x
2. Step 2: Convert to fraction form
   1,274.91/1,864.27 = 1,864.27/x
3. Step 3: Cross multiply
   1,274.91x = 1,864.27 × 1,864.27
4. Step 4: Simplify right side
   1,274.91x = 3,475,486.32
5. Step 5: Solve for x
   x = 3,475,486.32/1,274.91
6. Step 6: Final answer
   x = 2,726.07