Finding the Third Proportional to 31,422 and 65,868

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422 : 65,868 = 65,868 : x
2. Step 2: Convert to fraction form
   31,422/65,868 = 65,868/x
3. Step 3: Cross multiply
   31,422x = 65,868 × 65,868
4. Step 4: Simplify right side
   31,422x = 4,338,593,424
5. Step 5: Solve for x
   x = 4,338,593,424/31,422
6. Step 6: Final answer
   x = 138,075.02