Finding the Third Proportional to 34,218 and 75,162

Step by Step Solution

1. Step 1: Write the proportion equation
   34,218 : 75,162 = 75,162 : x
2. Step 2: Convert to fraction form
   34,218/75,162 = 75,162/x
3. Step 3: Cross multiply
   34,218x = 75,162 × 75,162
4. Step 4: Simplify right side
   34,218x = 5,649,326,244
5. Step 5: Solve for x
   x = 5,649,326,244/34,218
6. Step 6: Final answer
   x = 165,098.08