Finding the Third Proportional to 33,499 and 52,093

Step by Step Solution

1. Step 1: Write the proportion equation
   33,499 : 52,093 = 52,093 : x
2. Step 2: Convert to fraction form
   33,499/52,093 = 52,093/x
3. Step 3: Cross multiply
   33,499x = 52,093 × 52,093
4. Step 4: Simplify right side
   33,499x = 2,713,680,649
5. Step 5: Solve for x
   x = 2,713,680,649/33,499
6. Step 6: Final answer
   x = 81,007.81