Finding the Third Proportional to 33,828 and 48,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,828 : 48,081.50 = 48,081.50 : x
2. Step 2: Convert to fraction form
   33,828/48,081.50 = 48,081.50/x
3. Step 3: Cross multiply
   33,828x = 48,081.50 × 48,081.50
4. Step 4: Simplify right side
   33,828x = 2,311,830,642.25
5. Step 5: Solve for x
   x = 2,311,830,642.25/33,828
6. Step 6: Final answer
   x = 68,340.74