Finding the Third Proportional to 14,776 and 31,742

Step by Step Solution

1. Step 1: Write the proportion equation
   14,776 : 31,742 = 31,742 : x
2. Step 2: Convert to fraction form
   14,776/31,742 = 31,742/x
3. Step 3: Cross multiply
   14,776x = 31,742 × 31,742
4. Step 4: Simplify right side
   14,776x = 1,007,554,564
5. Step 5: Solve for x
   x = 1,007,554,564/14,776
6. Step 6: Final answer
   x = 68,188.59