Finding the Third Proportional to 38,362 and 82,054

Step by Step Solution

1. Step 1: Write the proportion equation
   38,362 : 82,054 = 82,054 : x
2. Step 2: Convert to fraction form
   38,362/82,054 = 82,054/x
3. Step 3: Cross multiply
   38,362x = 82,054 × 82,054
4. Step 4: Simplify right side
   38,362x = 6,732,858,916
5. Step 5: Solve for x
   x = 6,732,858,916/38,362
6. Step 6: Final answer
   x = 175,508.55