Finding the Third Proportional to 20,922 and 31,023

Step by Step Solution

1. Step 1: Write the proportion equation
   20,922 : 31,023 = 31,023 : x
2. Step 2: Convert to fraction form
   20,922/31,023 = 31,023/x
3. Step 3: Cross multiply
   20,922x = 31,023 × 31,023
4. Step 4: Simplify right side
   20,922x = 962,426,529
5. Step 5: Solve for x
   x = 962,426,529/20,922
6. Step 6: Final answer
   x = 46,000.69