Finding the Third Proportional to 14,636 and 31,636

Step by Step Solution

1. Step 1: Write the proportion equation
   14,636 : 31,636 = 31,636 : x
2. Step 2: Convert to fraction form
   14,636/31,636 = 31,636/x
3. Step 3: Cross multiply
   14,636x = 31,636 × 31,636
4. Step 4: Simplify right side
   14,636x = 1,000,836,496
5. Step 5: Solve for x
   x = 1,000,836,496/14,636
6. Step 6: Final answer
   x = 68,381.83