Finding the Third Proportional to 2,313 and 3,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,313 : 3,674.50 = 3,674.50 : x
2. Step 2: Convert to fraction form
   2,313/3,674.50 = 3,674.50/x
3. Step 3: Cross multiply
   2,313x = 3,674.50 × 3,674.50
4. Step 4: Simplify right side
   2,313x = 13,501,950.25
5. Step 5: Solve for x
   x = 13,501,950.25/2,313
6. Step 6: Final answer
   x = 5,837.42