Finding the Third Proportional to 31,664 and 67,986

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664 : 67,986 = 67,986 : x
2. Step 2: Convert to fraction form
   31,664/67,986 = 67,986/x
3. Step 3: Cross multiply
   31,664x = 67,986 × 67,986
4. Step 4: Simplify right side
   31,664x = 4,622,096,196
5. Step 5: Solve for x
   x = 4,622,096,196/31,664
6. Step 6: Final answer
   x = 145,973.22