Finding the Third Proportional to 33,698 and 52,858

Step by Step Solution

1. Step 1: Write the proportion equation
   33,698 : 52,858 = 52,858 : x
2. Step 2: Convert to fraction form
   33,698/52,858 = 52,858/x
3. Step 3: Cross multiply
   33,698x = 52,858 × 52,858
4. Step 4: Simplify right side
   33,698x = 2,793,968,164
5. Step 5: Solve for x
   x = 2,793,968,164/33,698
6. Step 6: Final answer
   x = 82,911.99