Finding the Third Proportional to 2,598.75 and 4,612.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.75 : 4,612.78 = 4,612.78 : x
2. Step 2: Convert to fraction form
   2,598.75/4,612.78 = 4,612.78/x
3. Step 3: Cross multiply
   2,598.75x = 4,612.78 × 4,612.78
4. Step 4: Simplify right side
   2,598.75x = 21,277,750.86
5. Step 5: Solve for x
   x = 21,277,750.86/2,598.75
6. Step 6: Final answer
   x = 8,187.69