Finding the Third Proportional to 2,468.50 and 5,392.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.50 : 5,392.75 = 5,392.75 : x
2. Step 2: Convert to fraction form
   2,468.50/5,392.75 = 5,392.75/x
3. Step 3: Cross multiply
   2,468.50x = 5,392.75 × 5,392.75
4. Step 4: Simplify right side
   2,468.50x = 29,081,752.56
5. Step 5: Solve for x
   x = 29,081,752.56/2,468.50
6. Step 6: Final answer
   x = 11,781.14