Finding the Third Proportional to 23,649 and 51,738

Step by Step Solution

1. Step 1: Write the proportion equation
   23,649 : 51,738 = 51,738 : x
2. Step 2: Convert to fraction form
   23,649/51,738 = 51,738/x
3. Step 3: Cross multiply
   23,649x = 51,738 × 51,738
4. Step 4: Simplify right side
   23,649x = 2,676,820,644
5. Step 5: Solve for x
   x = 2,676,820,644/23,649
6. Step 6: Final answer
   x = 113,189.59