Finding the Third Proportional to 33,812 and 49,466

Step by Step Solution

1. Step 1: Write the proportion equation
   33,812 : 49,466 = 49,466 : x
2. Step 2: Convert to fraction form
   33,812/49,466 = 49,466/x
3. Step 3: Cross multiply
   33,812x = 49,466 × 49,466
4. Step 4: Simplify right side
   33,812x = 2,446,885,156
5. Step 5: Solve for x
   x = 2,446,885,156/33,812
6. Step 6: Final answer
   x = 72,367.36