Finding the Third Proportional to 33,676.50 and 52,292.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,676.50 : 52,292.25 = 52,292.25 : x
2. Step 2: Convert to fraction form
   33,676.50/52,292.25 = 52,292.25/x
3. Step 3: Cross multiply
   33,676.50x = 52,292.25 × 52,292.25
4. Step 4: Simplify right side
   33,676.50x = 2,734,479,410.06
5. Step 5: Solve for x
   x = 2,734,479,410.06/33,676.50
6. Step 6: Final answer
   x = 81,198.44