Finding the Third Proportional to 33,380 and 51,663

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 51,663 = 51,663 : x
2. Step 2: Convert to fraction form
   33,380/51,663 = 51,663/x
3. Step 3: Cross multiply
   33,380x = 51,663 × 51,663
4. Step 4: Simplify right side
   33,380x = 2,669,065,569
5. Step 5: Solve for x
   x = 2,669,065,569/33,380
6. Step 6: Final answer
   x = 79,960.02