Finding the Third Proportional to 32,454 and 50,114

Step by Step Solution

1. Step 1: Write the proportion equation
   32,454 : 50,114 = 50,114 : x
2. Step 2: Convert to fraction form
   32,454/50,114 = 50,114/x
3. Step 3: Cross multiply
   32,454x = 50,114 × 50,114
4. Step 4: Simplify right side
   32,454x = 2,511,412,996
5. Step 5: Solve for x
   x = 2,511,412,996/32,454
6. Step 6: Final answer
   x = 77,383.77