Finding the Third Proportional to 2,719.50 and 3,642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,719.50 : 3,642.19 = 3,642.19 : x
2. Step 2: Convert to fraction form
   2,719.50/3,642.19 = 3,642.19/x
3. Step 3: Cross multiply
   2,719.50x = 3,642.19 × 3,642.19
4. Step 4: Simplify right side
   2,719.50x = 13,265,529.79
5. Step 5: Solve for x
   x = 13,265,529.79/2,719.50
6. Step 6: Final answer
   x = 4,877.93