Finding the Third Proportional to 1,579.22 and 2,434.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,579.22 : 2,434.78 = 2,434.78 : x
2. Step 2: Convert to fraction form
   1,579.22/2,434.78 = 2,434.78/x
3. Step 3: Cross multiply
   1,579.22x = 2,434.78 × 2,434.78
4. Step 4: Simplify right side
   1,579.22x = 5,928,159.74
5. Step 5: Solve for x
   x = 5,928,159.74/1,579.22
6. Step 6: Final answer
   x = 3,753.86