Finding the Third Proportional to 31,775 and 67,773

Step by Step Solution

1. Step 1: Write the proportion equation
   31,775 : 67,773 = 67,773 : x
2. Step 2: Convert to fraction form
   31,775/67,773 = 67,773/x
3. Step 3: Cross multiply
   31,775x = 67,773 × 67,773
4. Step 4: Simplify right side
   31,775x = 4,593,179,529
5. Step 5: Solve for x
   x = 4,593,179,529/31,775
6. Step 6: Final answer
   x = 144,553.25