Finding the Third Proportional to 31,608 and 68,197

Step by Step Solution

1. Step 1: Write the proportion equation
   31,608 : 68,197 = 68,197 : x
2. Step 2: Convert to fraction form
   31,608/68,197 = 68,197/x
3. Step 3: Cross multiply
   31,608x = 68,197 × 68,197
4. Step 4: Simplify right side
   31,608x = 4,650,830,809
5. Step 5: Solve for x
   x = 4,650,830,809/31,608
6. Step 6: Final answer
   x = 147,140.94