Finding the Third Proportional to 33,141 and 50,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,141 : 50,193.50 = 50,193.50 : x
2. Step 2: Convert to fraction form
   33,141/50,193.50 = 50,193.50/x
3. Step 3: Cross multiply
   33,141x = 50,193.50 × 50,193.50
4. Step 4: Simplify right side
   33,141x = 2,519,387,442.25
5. Step 5: Solve for x
   x = 2,519,387,442.25/33,141
6. Step 6: Final answer
   x = 76,020.26