Finding the Third Proportional to 33,840 and 52,686

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 52,686 = 52,686 : x
2. Step 2: Convert to fraction form
   33,840/52,686 = 52,686/x
3. Step 3: Cross multiply
   33,840x = 52,686 × 52,686
4. Step 4: Simplify right side
   33,840x = 2,775,814,596
5. Step 5: Solve for x
   x = 2,775,814,596/33,840
6. Step 6: Final answer
   x = 82,027.62