Finding the Third Proportional to 33,694 and 52,698

Step by Step Solution

1. Step 1: Write the proportion equation
   33,694 : 52,698 = 52,698 : x
2. Step 2: Convert to fraction form
   33,694/52,698 = 52,698/x
3. Step 3: Cross multiply
   33,694x = 52,698 × 52,698
4. Step 4: Simplify right side
   33,694x = 2,777,079,204
5. Step 5: Solve for x
   x = 2,777,079,204/33,694
6. Step 6: Final answer
   x = 82,420.59