Finding the Third Proportional to 33,057 and 51,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,057 : 51,043.50 = 51,043.50 : x
2. Step 2: Convert to fraction form
   33,057/51,043.50 = 51,043.50/x
3. Step 3: Cross multiply
   33,057x = 51,043.50 × 51,043.50
4. Step 4: Simplify right side
   33,057x = 2,605,438,892.25
5. Step 5: Solve for x
   x = 2,605,438,892.25/33,057
6. Step 6: Final answer
   x = 78,816.56