Finding the Third Proportional to 33,640 and 52,775

Step by Step Solution

1. Step 1: Write the proportion equation
   33,640 : 52,775 = 52,775 : x
2. Step 2: Convert to fraction form
   33,640/52,775 = 52,775/x
3. Step 3: Cross multiply
   33,640x = 52,775 × 52,775
4. Step 4: Simplify right side
   33,640x = 2,785,200,625
5. Step 5: Solve for x
   x = 2,785,200,625/33,640
6. Step 6: Final answer
   x = 82,794.31