Finding the Third Proportional to 1,052.50 and 1,647.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.50 : 1,647.25 = 1,647.25 : x
2. Step 2: Convert to fraction form
   1,052.50/1,647.25 = 1,647.25/x
3. Step 3: Cross multiply
   1,052.50x = 1,647.25 × 1,647.25
4. Step 4: Simplify right side
   1,052.50x = 2,713,432.56
5. Step 5: Solve for x
   x = 2,713,432.56/1,052.50
6. Step 6: Final answer
   x = 2,578.08