Finding the Third Proportional to 14,819 and 31,906

Step by Step Solution

1. Step 1: Write the proportion equation
   14,819 : 31,906 = 31,906 : x
2. Step 2: Convert to fraction form
   14,819/31,906 = 31,906/x
3. Step 3: Cross multiply
   14,819x = 31,906 × 31,906
4. Step 4: Simplify right side
   14,819x = 1,017,992,836
5. Step 5: Solve for x
   x = 1,017,992,836/14,819
6. Step 6: Final answer
   x = 68,695.11