Finding the Third Proportional to 31,696 and 67,890

Step by Step Solution

1. Step 1: Write the proportion equation
   31,696 : 67,890 = 67,890 : x
2. Step 2: Convert to fraction form
   31,696/67,890 = 67,890/x
3. Step 3: Cross multiply
   31,696x = 67,890 × 67,890
4. Step 4: Simplify right side
   31,696x = 4,609,052,100
5. Step 5: Solve for x
   x = 4,609,052,100/31,696
6. Step 6: Final answer
   x = 145,414.31