Finding the Third Proportional to 33,876 and 52,752

Step by Step Solution

1. Step 1: Write the proportion equation
   33,876 : 52,752 = 52,752 : x
2. Step 2: Convert to fraction form
   33,876/52,752 = 52,752/x
3. Step 3: Cross multiply
   33,876x = 52,752 × 52,752
4. Step 4: Simplify right side
   33,876x = 2,782,773,504
5. Step 5: Solve for x
   x = 2,782,773,504/33,876
6. Step 6: Final answer
   x = 82,145.87