Finding the Third Proportional to 31,009 and 67,814

Step by Step Solution

1. Step 1: Write the proportion equation
   31,009 : 67,814 = 67,814 : x
2. Step 2: Convert to fraction form
   31,009/67,814 = 67,814/x
3. Step 3: Cross multiply
   31,009x = 67,814 × 67,814
4. Step 4: Simplify right side
   31,009x = 4,598,738,596
5. Step 5: Solve for x
   x = 4,598,738,596/31,009
6. Step 6: Final answer
   x = 148,303.35