Finding the Third Proportional to 38,138 and 80,892

Step by Step Solution

1. Step 1: Write the proportion equation
   38,138 : 80,892 = 80,892 : x
2. Step 2: Convert to fraction form
   38,138/80,892 = 80,892/x
3. Step 3: Cross multiply
   38,138x = 80,892 × 80,892
4. Step 4: Simplify right side
   38,138x = 6,543,515,664
5. Step 5: Solve for x
   x = 6,543,515,664/38,138
6. Step 6: Final answer
   x = 171,574.69