Finding the Third Proportional to 14,677 and 31,693

Step by Step Solution

1. Step 1: Write the proportion equation
   14,677 : 31,693 = 31,693 : x
2. Step 2: Convert to fraction form
   14,677/31,693 = 31,693/x
3. Step 3: Cross multiply
   14,677x = 31,693 × 31,693
4. Step 4: Simplify right side
   14,677x = 1,004,446,249
5. Step 5: Solve for x
   x = 1,004,446,249/14,677
6. Step 6: Final answer
   x = 68,436.75