Finding the Third Proportional to 31,511 and 65,944

Step by Step Solution

1. Step 1: Write the proportion equation
   31,511 : 65,944 = 65,944 : x
2. Step 2: Convert to fraction form
   31,511/65,944 = 65,944/x
3. Step 3: Cross multiply
   31,511x = 65,944 × 65,944
4. Step 4: Simplify right side
   31,511x = 4,348,611,136
5. Step 5: Solve for x
   x = 4,348,611,136/31,511
6. Step 6: Final answer
   x = 138,002.96