Finding the Third Proportional to 21,820 and 31,948

Step by Step Solution

1. Step 1: Write the proportion equation
   21,820 : 31,948 = 31,948 : x
2. Step 2: Convert to fraction form
   21,820/31,948 = 31,948/x
3. Step 3: Cross multiply
   21,820x = 31,948 × 31,948
4. Step 4: Simplify right side
   21,820x = 1,020,674,704
5. Step 5: Solve for x
   x = 1,020,674,704/21,820
6. Step 6: Final answer
   x = 46,777.03