Finding the Third Proportional to 1,569 and 1,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569 : 1,997.50 = 1,997.50 : x
2. Step 2: Convert to fraction form
   1,569/1,997.50 = 1,997.50/x
3. Step 3: Cross multiply
   1,569x = 1,997.50 × 1,997.50
4. Step 4: Simplify right side
   1,569x = 3,990,006.25
5. Step 5: Solve for x
   x = 3,990,006.25/1,569
6. Step 6: Final answer
   x = 2,543.03