Finding the Third Proportional to 2,371.59 and 3,810.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371.59 : 3,810.52 = 3,810.52 : x
2. Step 2: Convert to fraction form
   2,371.59/3,810.52 = 3,810.52/x
3. Step 3: Cross multiply
   2,371.59x = 3,810.52 × 3,810.52
4. Step 4: Simplify right side
   2,371.59x = 14,520,029.33
5. Step 5: Solve for x
   x = 14,520,029.33/2,371.59
6. Step 6: Final answer
   x = 6,122.48