Finding the Third Proportional to 21,822 and 32,643

Step by Step Solution

1. Step 1: Write the proportion equation
   21,822 : 32,643 = 32,643 : x
2. Step 2: Convert to fraction form
   21,822/32,643 = 32,643/x
3. Step 3: Cross multiply
   21,822x = 32,643 × 32,643
4. Step 4: Simplify right side
   21,822x = 1,065,565,449
5. Step 5: Solve for x
   x = 1,065,565,449/21,822
6. Step 6: Final answer
   x = 48,829.87