Finding the Third Proportional to 34,920 and 54,114

Step by Step Solution

1. Step 1: Write the proportion equation
   34,920 : 54,114 = 54,114 : x
2. Step 2: Convert to fraction form
   34,920/54,114 = 54,114/x
3. Step 3: Cross multiply
   34,920x = 54,114 × 54,114
4. Step 4: Simplify right side
   34,920x = 2,928,324,996
5. Step 5: Solve for x
   x = 2,928,324,996/34,920
6. Step 6: Final answer
   x = 83,858.10