Finding the Third Proportional to 2,371.50 and 3,614.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371.50 : 3,614.63 = 3,614.63 : x
2. Step 2: Convert to fraction form
   2,371.50/3,614.63 = 3,614.63/x
3. Step 3: Cross multiply
   2,371.50x = 3,614.63 × 3,614.63
4. Step 4: Simplify right side
   2,371.50x = 13,065,513.89
5. Step 5: Solve for x
   x = 13,065,513.89/2,371.50
6. Step 6: Final answer
   x = 5,509.39