Finding the Third Proportional to 33,828 and 52,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,828 : 52,582.50 = 52,582.50 : x
2. Step 2: Convert to fraction form
   33,828/52,582.50 = 52,582.50/x
3. Step 3: Cross multiply
   33,828x = 52,582.50 × 52,582.50
4. Step 4: Simplify right side
   33,828x = 2,764,919,306.25
5. Step 5: Solve for x
   x = 2,764,919,306.25/33,828
6. Step 6: Final answer
   x = 81,734.64