Finding the Third Proportional to 1,612.50 and 2,562.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,612.50 : 2,562.75 = 2,562.75 : x
2. Step 2: Convert to fraction form
   1,612.50/2,562.75 = 2,562.75/x
3. Step 3: Cross multiply
   1,612.50x = 2,562.75 × 2,562.75
4. Step 4: Simplify right side
   1,612.50x = 6,567,687.56
5. Step 5: Solve for x
   x = 6,567,687.56/1,612.50
6. Step 6: Final answer
   x = 4,072.98