Finding the Third Proportional to 19,846 and 31,910

Step by Step Solution

1. Step 1: Write the proportion equation
   19,846 : 31,910 = 31,910 : x
2. Step 2: Convert to fraction form
   19,846/31,910 = 31,910/x
3. Step 3: Cross multiply
   19,846x = 31,910 × 31,910
4. Step 4: Simplify right side
   19,846x = 1,018,248,100
5. Step 5: Solve for x
   x = 1,018,248,100/19,846
6. Step 6: Final answer
   x = 51,307.47