Finding the Third Proportional to 20,938 and 31,023

Step by Step Solution

1. Step 1: Write the proportion equation
   20,938 : 31,023 = 31,023 : x
2. Step 2: Convert to fraction form
   20,938/31,023 = 31,023/x
3. Step 3: Cross multiply
   20,938x = 31,023 × 31,023
4. Step 4: Simplify right side
   20,938x = 962,426,529
5. Step 5: Solve for x
   x = 962,426,529/20,938
6. Step 6: Final answer
   x = 45,965.54