Finding the Third Proportional to 2,518 and 5,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,518 : 5,924.50 = 5,924.50 : x
2. Step 2: Convert to fraction form
   2,518/5,924.50 = 5,924.50/x
3. Step 3: Cross multiply
   2,518x = 5,924.50 × 5,924.50
4. Step 4: Simplify right side
   2,518x = 35,099,700.25
5. Step 5: Solve for x
   x = 35,099,700.25/2,518
6. Step 6: Final answer
   x = 13,939.52