Finding the Third Proportional to 11,146 and 24,034

Step by Step Solution

1. Step 1: Write the proportion equation
   11,146 : 24,034 = 24,034 : x
2. Step 2: Convert to fraction form
   11,146/24,034 = 24,034/x
3. Step 3: Cross multiply
   11,146x = 24,034 × 24,034
4. Step 4: Simplify right side
   11,146x = 577,633,156
5. Step 5: Solve for x
   x = 577,633,156/11,146
6. Step 6: Final answer
   x = 51,824.26