Finding the Third Proportional to 1,655.25 and 2,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,655.25 : 2,563.50 = 2,563.50 : x
2. Step 2: Convert to fraction form
   1,655.25/2,563.50 = 2,563.50/x
3. Step 3: Cross multiply
   1,655.25x = 2,563.50 × 2,563.50
4. Step 4: Simplify right side
   1,655.25x = 6,571,532.25
5. Step 5: Solve for x
   x = 6,571,532.25/1,655.25
6. Step 6: Final answer
   x = 3,970.11