Finding the Third Proportional to 2,661.19 and 3,719.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.19 : 3,719.81 = 3,719.81 : x
2. Step 2: Convert to fraction form
   2,661.19/3,719.81 = 3,719.81/x
3. Step 3: Cross multiply
   2,661.19x = 3,719.81 × 3,719.81
4. Step 4: Simplify right side
   2,661.19x = 13,837,005.04
5. Step 5: Solve for x
   x = 13,837,005.04/2,661.19
6. Step 6: Final answer
   x = 5,199.56