Finding the Third Proportional to 1,565.25 and 2,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.25 : 2,188.50 = 2,188.50 : x
2. Step 2: Convert to fraction form
   1,565.25/2,188.50 = 2,188.50/x
3. Step 3: Cross multiply
   1,565.25x = 2,188.50 × 2,188.50
4. Step 4: Simplify right side
   1,565.25x = 4,789,532.25
5. Step 5: Solve for x
   x = 4,789,532.25/1,565.25
6. Step 6: Final answer
   x = 3,059.92