Finding the Third Proportional to 33,678 and 52,290

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 52,290 = 52,290 : x
2. Step 2: Convert to fraction form
   33,678/52,290 = 52,290/x
3. Step 3: Cross multiply
   33,678x = 52,290 × 52,290
4. Step 4: Simplify right side
   33,678x = 2,734,244,100
5. Step 5: Solve for x
   x = 2,734,244,100/33,678
6. Step 6: Final answer
   x = 81,187.84