Finding the Third Proportional to 33,878 and 72,463

Step by Step Solution

1. Step 1: Write the proportion equation
   33,878 : 72,463 = 72,463 : x
2. Step 2: Convert to fraction form
   33,878/72,463 = 72,463/x
3. Step 3: Cross multiply
   33,878x = 72,463 × 72,463
4. Step 4: Simplify right side
   33,878x = 5,250,886,369
5. Step 5: Solve for x
   x = 5,250,886,369/33,878
6. Step 6: Final answer
   x = 154,993.99