Finding the Third Proportional to 33,804 and 52,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,804 : 52,616.50 = 52,616.50 : x
2. Step 2: Convert to fraction form
   33,804/52,616.50 = 52,616.50/x
3. Step 3: Cross multiply
   33,804x = 52,616.50 × 52,616.50
4. Step 4: Simplify right side
   33,804x = 2,768,496,072.25
5. Step 5: Solve for x
   x = 2,768,496,072.25/33,804
6. Step 6: Final answer
   x = 81,898.48