Finding the Third Proportional to 2,296.13 and 3,238.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.13 : 3,238.88 = 3,238.88 : x
2. Step 2: Convert to fraction form
   2,296.13/3,238.88 = 3,238.88/x
3. Step 3: Cross multiply
   2,296.13x = 3,238.88 × 3,238.88
4. Step 4: Simplify right side
   2,296.13x = 10,490,311.27
5. Step 5: Solve for x
   x = 10,490,311.27/2,296.13
6. Step 6: Final answer
   x = 4,568.70