Finding the Third Proportional to 2,523.38 and 3,807.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.38 : 3,807.56 = 3,807.56 : x
2. Step 2: Convert to fraction form
   2,523.38/3,807.56 = 3,807.56/x
3. Step 3: Cross multiply
   2,523.38x = 3,807.56 × 3,807.56
4. Step 4: Simplify right side
   2,523.38x = 14,497,532.19
5. Step 5: Solve for x
   x = 14,497,532.19/2,523.38
6. Step 6: Final answer
   x = 5,745.29