Finding the Third Proportional to 34,560 and 74,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,560 : 74,016 = 74,016 : x
2. Step 2: Convert to fraction form
   34,560/74,016 = 74,016/x
3. Step 3: Cross multiply
   34,560x = 74,016 × 74,016
4. Step 4: Simplify right side
   34,560x = 5,478,368,256
5. Step 5: Solve for x
   x = 5,478,368,256/34,560
6. Step 6: Final answer
   x = 158,517.60