Finding the Third Proportional to 31,777 and 67,662

Step by Step Solution

1. Step 1: Write the proportion equation
   31,777 : 67,662 = 67,662 : x
2. Step 2: Convert to fraction form
   31,777/67,662 = 67,662/x
3. Step 3: Cross multiply
   31,777x = 67,662 × 67,662
4. Step 4: Simplify right side
   31,777x = 4,578,146,244
5. Step 5: Solve for x
   x = 4,578,146,244/31,777
6. Step 6: Final answer
   x = 144,071.07