Finding the Third Proportional to 11,022 and 24,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,022 : 24,111.75 = 24,111.75 : x
2. Step 2: Convert to fraction form
   11,022/24,111.75 = 24,111.75/x
3. Step 3: Cross multiply
   11,022x = 24,111.75 × 24,111.75
4. Step 4: Simplify right side
   11,022x = 581,376,488.06
5. Step 5: Solve for x
   x = 581,376,488.06/11,022
6. Step 6: Final answer
   x = 52,746.91