Finding the Third Proportional to 2,516 and 3,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,516 : 3,697.75 = 3,697.75 : x
2. Step 2: Convert to fraction form
   2,516/3,697.75 = 3,697.75/x
3. Step 3: Cross multiply
   2,516x = 3,697.75 × 3,697.75
4. Step 4: Simplify right side
   2,516x = 13,673,355.06
5. Step 5: Solve for x
   x = 13,673,355.06/2,516
6. Step 6: Final answer
   x = 5,434.56