Finding the Third Proportional to 34,072 and 54,180

Step by Step Solution

1. Step 1: Write the proportion equation
   34,072 : 54,180 = 54,180 : x
2. Step 2: Convert to fraction form
   34,072/54,180 = 54,180/x
3. Step 3: Cross multiply
   34,072x = 54,180 × 54,180
4. Step 4: Simplify right side
   34,072x = 2,935,472,400
5. Step 5: Solve for x
   x = 2,935,472,400/34,072
6. Step 6: Final answer
   x = 86,154.98