Finding the Third Proportional to 54,496 and 73,968

Step by Step Solution

1. Step 1: Write the proportion equation
   54,496 : 73,968 = 73,968 : x
2. Step 2: Convert to fraction form
   54,496/73,968 = 73,968/x
3. Step 3: Cross multiply
   54,496x = 73,968 × 73,968
4. Step 4: Simplify right side
   54,496x = 5,471,265,024
5. Step 5: Solve for x
   x = 5,471,265,024/54,496
6. Step 6: Final answer
   x = 100,397.55