Finding the Third Proportional to 20,856 and 31,461

Step by Step Solution

1. Step 1: Write the proportion equation
   20,856 : 31,461 = 31,461 : x
2. Step 2: Convert to fraction form
   20,856/31,461 = 31,461/x
3. Step 3: Cross multiply
   20,856x = 31,461 × 31,461
4. Step 4: Simplify right side
   20,856x = 989,794,521
5. Step 5: Solve for x
   x = 989,794,521/20,856
6. Step 6: Final answer
   x = 47,458.50