Finding the Third Proportional to 1,024 and 1,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024 : 1,567.50 = 1,567.50 : x
2. Step 2: Convert to fraction form
   1,024/1,567.50 = 1,567.50/x
3. Step 3: Cross multiply
   1,024x = 1,567.50 × 1,567.50
4. Step 4: Simplify right side
   1,024x = 2,457,056.25
5. Step 5: Solve for x
   x = 2,457,056.25/1,024
6. Step 6: Final answer
   x = 2,399.47