Finding the Third Proportional to 20,534 and 31,858

Step by Step Solution

1. Step 1: Write the proportion equation
   20,534 : 31,858 = 31,858 : x
2. Step 2: Convert to fraction form
   20,534/31,858 = 31,858/x
3. Step 3: Cross multiply
   20,534x = 31,858 × 31,858
4. Step 4: Simplify right side
   20,534x = 1,014,932,164
5. Step 5: Solve for x
   x = 1,014,932,164/20,534
6. Step 6: Final answer
   x = 49,426.91