Finding the Third Proportional to 2,579.34 and 3,946.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.34 : 3,946.22 = 3,946.22 : x
2. Step 2: Convert to fraction form
   2,579.34/3,946.22 = 3,946.22/x
3. Step 3: Cross multiply
   2,579.34x = 3,946.22 × 3,946.22
4. Step 4: Simplify right side
   2,579.34x = 15,572,642.42
5. Step 5: Solve for x
   x = 15,572,642.42/2,579.34
6. Step 6: Final answer
   x = 6,037.44