Finding the Third Proportional to 31,161 and 68,155

Step by Step Solution

1. Step 1: Write the proportion equation
   31,161 : 68,155 = 68,155 : x
2. Step 2: Convert to fraction form
   31,161/68,155 = 68,155/x
3. Step 3: Cross multiply
   31,161x = 68,155 × 68,155
4. Step 4: Simplify right side
   31,161x = 4,645,104,025
5. Step 5: Solve for x
   x = 4,645,104,025/31,161
6. Step 6: Final answer
   x = 149,067.87