Finding the Third Proportional to 1,002.50 and 2,143

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.50 : 2,143 = 2,143 : x
2. Step 2: Convert to fraction form
   1,002.50/2,143 = 2,143/x
3. Step 3: Cross multiply
   1,002.50x = 2,143 × 2,143
4. Step 4: Simplify right side
   1,002.50x = 4,592,449
5. Step 5: Solve for x
   x = 4,592,449/1,002.50
6. Step 6: Final answer
   x = 4,581.00