Finding the Third Proportional to 14,896 and 31,696

Step by Step Solution

1. Step 1: Write the proportion equation
   14,896 : 31,696 = 31,696 : x
2. Step 2: Convert to fraction form
   14,896/31,696 = 31,696/x
3. Step 3: Cross multiply
   14,896x = 31,696 × 31,696
4. Step 4: Simplify right side
   14,896x = 1,004,636,416
5. Step 5: Solve for x
   x = 1,004,636,416/14,896
6. Step 6: Final answer
   x = 67,443.37