Finding the Third Proportional to 21,748 and 32,864

Step by Step Solution

1. Step 1: Write the proportion equation
   21,748 : 32,864 = 32,864 : x
2. Step 2: Convert to fraction form
   21,748/32,864 = 32,864/x
3. Step 3: Cross multiply
   21,748x = 32,864 × 32,864
4. Step 4: Simplify right side
   21,748x = 1,080,042,496
5. Step 5: Solve for x
   x = 1,080,042,496/21,748
6. Step 6: Final answer
   x = 49,661.69