Finding the Third Proportional to 31,206 and 68,108

Step by Step Solution

1. Step 1: Write the proportion equation
   31,206 : 68,108 = 68,108 : x
2. Step 2: Convert to fraction form
   31,206/68,108 = 68,108/x
3. Step 3: Cross multiply
   31,206x = 68,108 × 68,108
4. Step 4: Simplify right side
   31,206x = 4,638,699,664
5. Step 5: Solve for x
   x = 4,638,699,664/31,206
6. Step 6: Final answer
   x = 148,647.69