Finding the Third Proportional to 14,782 and 31,910

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782 : 31,910 = 31,910 : x
2. Step 2: Convert to fraction form
   14,782/31,910 = 31,910/x
3. Step 3: Cross multiply
   14,782x = 31,910 × 31,910
4. Step 4: Simplify right side
   14,782x = 1,018,248,100
5. Step 5: Solve for x
   x = 1,018,248,100/14,782
6. Step 6: Final answer
   x = 68,884.33