Finding the Third Proportional to 33,789 and 49,665

Step by Step Solution

1. Step 1: Write the proportion equation
   33,789 : 49,665 = 49,665 : x
2. Step 2: Convert to fraction form
   33,789/49,665 = 49,665/x
3. Step 3: Cross multiply
   33,789x = 49,665 × 49,665
4. Step 4: Simplify right side
   33,789x = 2,466,612,225
5. Step 5: Solve for x
   x = 2,466,612,225/33,789
6. Step 6: Final answer
   x = 73,000.45