Finding the Third Proportional to 1,568.25 and 2,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.25 : 2,752.50 = 2,752.50 : x
2. Step 2: Convert to fraction form
   1,568.25/2,752.50 = 2,752.50/x
3. Step 3: Cross multiply
   1,568.25x = 2,752.50 × 2,752.50
4. Step 4: Simplify right side
   1,568.25x = 7,576,256.25
5. Step 5: Solve for x
   x = 7,576,256.25/1,568.25
6. Step 6: Final answer
   x = 4,831.03