Finding the Third Proportional to 33,837 and 48,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,837 : 48,091.50 = 48,091.50 : x
2. Step 2: Convert to fraction form
   33,837/48,091.50 = 48,091.50/x
3. Step 3: Cross multiply
   33,837x = 48,091.50 × 48,091.50
4. Step 4: Simplify right side
   33,837x = 2,312,792,372.25
5. Step 5: Solve for x
   x = 2,312,792,372.25/33,837
6. Step 6: Final answer
   x = 68,350.99