Finding the Third Proportional to 31,646 and 67,788

Step by Step Solution

1. Step 1: Write the proportion equation
   31,646 : 67,788 = 67,788 : x
2. Step 2: Convert to fraction form
   31,646/67,788 = 67,788/x
3. Step 3: Cross multiply
   31,646x = 67,788 × 67,788
4. Step 4: Simplify right side
   31,646x = 4,595,212,944
5. Step 5: Solve for x
   x = 4,595,212,944/31,646
6. Step 6: Final answer
   x = 145,206.75