Finding the Third Proportional to 33,830 and 48,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,830 : 48,083.50 = 48,083.50 : x
2. Step 2: Convert to fraction form
   33,830/48,083.50 = 48,083.50/x
3. Step 3: Cross multiply
   33,830x = 48,083.50 × 48,083.50
4. Step 4: Simplify right side
   33,830x = 2,312,022,972.25
5. Step 5: Solve for x
   x = 2,312,022,972.25/33,830
6. Step 6: Final answer
   x = 68,342.39