Finding the Third Proportional to 27,292 and 42,155

Step by Step Solution

1. Step 1: Write the proportion equation
   27,292 : 42,155 = 42,155 : x
2. Step 2: Convert to fraction form
   27,292/42,155 = 42,155/x
3. Step 3: Cross multiply
   27,292x = 42,155 × 42,155
4. Step 4: Simplify right side
   27,292x = 1,777,044,025
5. Step 5: Solve for x
   x = 1,777,044,025/27,292
6. Step 6: Final answer
   x = 65,112.27