Finding the Third Proportional to 34,848 and 38,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,848 : 38,016 = 38,016 : x
2. Step 2: Convert to fraction form
   34,848/38,016 = 38,016/x
3. Step 3: Cross multiply
   34,848x = 38,016 × 38,016
4. Step 4: Simplify right side
   34,848x = 1,445,216,256
5. Step 5: Solve for x
   x = 1,445,216,256/34,848
6. Step 6: Final answer
   x = 41,472