Finding the Third Proportional to 33,675 and 52,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,675 : 52,828.50 = 52,828.50 : x
2. Step 2: Convert to fraction form
   33,675/52,828.50 = 52,828.50/x
3. Step 3: Cross multiply
   33,675x = 52,828.50 × 52,828.50
4. Step 4: Simplify right side
   33,675x = 2,790,850,412.25
5. Step 5: Solve for x
   x = 2,790,850,412.25/33,675
6. Step 6: Final answer
   x = 82,876.03