Finding the Third Proportional to 31,035 and 67,467

Step by Step Solution

1. Step 1: Write the proportion equation
   31,035 : 67,467 = 67,467 : x
2. Step 2: Convert to fraction form
   31,035/67,467 = 67,467/x
3. Step 3: Cross multiply
   31,035x = 67,467 × 67,467
4. Step 4: Simplify right side
   31,035x = 4,551,796,089
5. Step 5: Solve for x
   x = 4,551,796,089/31,035
6. Step 6: Final answer
   x = 146,666.54