Finding the Third Proportional to 33,766 and 52,413

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 52,413 = 52,413 : x
2. Step 2: Convert to fraction form
   33,766/52,413 = 52,413/x
3. Step 3: Cross multiply
   33,766x = 52,413 × 52,413
4. Step 4: Simplify right side
   33,766x = 2,747,122,569
5. Step 5: Solve for x
   x = 2,747,122,569/33,766
6. Step 6: Final answer
   x = 81,357.65