Finding the Third Proportional to 1,011.50 and 2,023

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.50 : 2,023 = 2,023 : x
2. Step 2: Convert to fraction form
   1,011.50/2,023 = 2,023/x
3. Step 3: Cross multiply
   1,011.50x = 2,023 × 2,023
4. Step 4: Simplify right side
   1,011.50x = 4,092,529
5. Step 5: Solve for x
   x = 4,092,529/1,011.50
6. Step 6: Final answer
   x = 4,046