Finding the Third Proportional to 20,850 and 31,456

Step by Step Solution

1. Step 1: Write the proportion equation
   20,850 : 31,456 = 31,456 : x
2. Step 2: Convert to fraction form
   20,850/31,456 = 31,456/x
3. Step 3: Cross multiply
   20,850x = 31,456 × 31,456
4. Step 4: Simplify right side
   20,850x = 989,479,936
5. Step 5: Solve for x
   x = 989,479,936/20,850
6. Step 6: Final answer
   x = 47,457.07