Finding the Third Proportional to 2,382.38 and 5,071.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,382.38 : 5,071.88 = 5,071.88 : x
2. Step 2: Convert to fraction form
   2,382.38/5,071.88 = 5,071.88/x
3. Step 3: Cross multiply
   2,382.38x = 5,071.88 × 5,071.88
4. Step 4: Simplify right side
   2,382.38x = 25,723,916.02
5. Step 5: Solve for x
   x = 25,723,916.02/2,382.38
6. Step 6: Final answer
   x = 10,797.59