Finding the Third Proportional to 31,346 and 67,636

Step by Step Solution

1. Step 1: Write the proportion equation
   31,346 : 67,636 = 67,636 : x
2. Step 2: Convert to fraction form
   31,346/67,636 = 67,636/x
3. Step 3: Cross multiply
   31,346x = 67,636 × 67,636
4. Step 4: Simplify right side
   31,346x = 4,574,628,496
5. Step 5: Solve for x
   x = 4,574,628,496/31,346
6. Step 6: Final answer
   x = 145,939.78