Finding the Third Proportional to 21,106 and 31,822

Step by Step Solution

1. Step 1: Write the proportion equation
   21,106 : 31,822 = 31,822 : x
2. Step 2: Convert to fraction form
   21,106/31,822 = 31,822/x
3. Step 3: Cross multiply
   21,106x = 31,822 × 31,822
4. Step 4: Simplify right side
   21,106x = 1,012,639,684
5. Step 5: Solve for x
   x = 1,012,639,684/21,106
6. Step 6: Final answer
   x = 47,978.76