Finding the Third Proportional to 72,072 and 108,972

Step by Step Solution

1. Step 1: Write the proportion equation
   72,072 : 108,972 = 108,972 : x
2. Step 2: Convert to fraction form
   72,072/108,972 = 108,972/x
3. Step 3: Cross multiply
   72,072x = 108,972 × 108,972
4. Step 4: Simplify right side
   72,072x = 11,874,896,784
5. Step 5: Solve for x
   x = 11,874,896,784/72,072
6. Step 6: Final answer
   x = 164,764.36