Finding the Third Proportional to 1,581.94 and 2,618.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.94 : 2,618.06 = 2,618.06 : x
2. Step 2: Convert to fraction form
   1,581.94/2,618.06 = 2,618.06/x
3. Step 3: Cross multiply
   1,581.94x = 2,618.06 × 2,618.06
4. Step 4: Simplify right side
   1,581.94x = 6,854,251.25
5. Step 5: Solve for x
   x = 6,854,251.25/1,581.94
6. Step 6: Final answer
   x = 4,332.82