Finding the Third Proportional to 31,699 and 67,268

Step by Step Solution

1. Step 1: Write the proportion equation
   31,699 : 67,268 = 67,268 : x
2. Step 2: Convert to fraction form
   31,699/67,268 = 67,268/x
3. Step 3: Cross multiply
   31,699x = 67,268 × 67,268
4. Step 4: Simplify right side
   31,699x = 4,524,983,824
5. Step 5: Solve for x
   x = 4,524,983,824/31,699
6. Step 6: Final answer
   x = 142,748.47