Finding the Third Proportional to 72,171 and 107,892

Step by Step Solution

1. Step 1: Write the proportion equation
   72,171 : 107,892 = 107,892 : x
2. Step 2: Convert to fraction form
   72,171/107,892 = 107,892/x
3. Step 3: Cross multiply
   72,171x = 107,892 × 107,892
4. Step 4: Simplify right side
   72,171x = 11,640,683,664
5. Step 5: Solve for x
   x = 11,640,683,664/72,171
6. Step 6: Final answer
   x = 161,293.09