Finding the Third Proportional to 2,579.98 and 3,875.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.98 : 3,875.66 = 3,875.66 : x
2. Step 2: Convert to fraction form
   2,579.98/3,875.66 = 3,875.66/x
3. Step 3: Cross multiply
   2,579.98x = 3,875.66 × 3,875.66
4. Step 4: Simplify right side
   2,579.98x = 15,020,741.65
5. Step 5: Solve for x
   x = 15,020,741.65/2,579.98
6. Step 6: Final answer
   x = 5,822.05