Finding the Third Proportional to 2,499.19 and 3,164.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,499.19 : 3,164.91 = 3,164.91 : x
2. Step 2: Convert to fraction form
   2,499.19/3,164.91 = 3,164.91/x
3. Step 3: Cross multiply
   2,499.19x = 3,164.91 × 3,164.91
4. Step 4: Simplify right side
   2,499.19x = 10,016,631.57
5. Step 5: Solve for x
   x = 10,016,631.57/2,499.19
6. Step 6: Final answer
   x = 4,007.96