Finding the Third Proportional to 21,840 and 31,984

Step by Step Solution

1. Step 1: Write the proportion equation
   21,840 : 31,984 = 31,984 : x
2. Step 2: Convert to fraction form
   21,840/31,984 = 31,984/x
3. Step 3: Cross multiply
   21,840x = 31,984 × 31,984
4. Step 4: Simplify right side
   21,840x = 1,022,976,256
5. Step 5: Solve for x
   x = 1,022,976,256/21,840
6. Step 6: Final answer
   x = 46,839.57