Finding the Third Proportional to 11,625 and 23,868

Step by Step Solution

1. Step 1: Write the proportion equation
   11,625 : 23,868 = 23,868 : x
2. Step 2: Convert to fraction form
   11,625/23,868 = 23,868/x
3. Step 3: Cross multiply
   11,625x = 23,868 × 23,868
4. Step 4: Simplify right side
   11,625x = 569,681,424
5. Step 5: Solve for x
   x = 569,681,424/11,625
6. Step 6: Final answer
   x = 49,004.85