Finding the Third Proportional to 452 and 1,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   452 : 1,002.50 = 1,002.50 : x
2. Step 2: Convert to fraction form
   452/1,002.50 = 1,002.50/x
3. Step 3: Cross multiply
   452x = 1,002.50 × 1,002.50
4. Step 4: Simplify right side
   452x = 1,005,006.25
5. Step 5: Solve for x
   x = 1,005,006.25/452
6. Step 6: Final answer
   x = 2,223.47