Finding the Third Proportional to 2,515 and 3,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,515 : 3,758.50 = 3,758.50 : x
2. Step 2: Convert to fraction form
   2,515/3,758.50 = 3,758.50/x
3. Step 3: Cross multiply
   2,515x = 3,758.50 × 3,758.50
4. Step 4: Simplify right side
   2,515x = 14,126,322.25
5. Step 5: Solve for x
   x = 14,126,322.25/2,515
6. Step 6: Final answer
   x = 5,616.83