Finding the Third Proportional to 27,234 and 58,162

Step by Step Solution

1. Step 1: Write the proportion equation
   27,234 : 58,162 = 58,162 : x
2. Step 2: Convert to fraction form
   27,234/58,162 = 58,162/x
3. Step 3: Cross multiply
   27,234x = 58,162 × 58,162
4. Step 4: Simplify right side
   27,234x = 3,382,818,244
5. Step 5: Solve for x
   x = 3,382,818,244/27,234
6. Step 6: Final answer
   x = 124,213.05