Finding the Third Proportional to 31,050 and 67,014

Step by Step Solution

1. Step 1: Write the proportion equation
   31,050 : 67,014 = 67,014 : x
2. Step 2: Convert to fraction form
   31,050/67,014 = 67,014/x
3. Step 3: Cross multiply
   31,050x = 67,014 × 67,014
4. Step 4: Simplify right side
   31,050x = 4,490,876,196
5. Step 5: Solve for x
   x = 4,490,876,196/31,050
6. Step 6: Final answer
   x = 144,633.69