Finding the Third Proportional to 1,665.84 and 2,579.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.84 : 2,579.34 = 2,579.34 : x
2. Step 2: Convert to fraction form
   1,665.84/2,579.34 = 2,579.34/x
3. Step 3: Cross multiply
   1,665.84x = 2,579.34 × 2,579.34
4. Step 4: Simplify right side
   1,665.84x = 6,653,014.18
5. Step 5: Solve for x
   x = 6,653,014.18/1,665.84
6. Step 6: Final answer
   x = 3,993.78