Finding the Third Proportional to 12,384 and 21,832

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 21,832 = 21,832 : x
2. Step 2: Convert to fraction form
   12,384/21,832 = 21,832/x
3. Step 3: Cross multiply
   12,384x = 21,832 × 21,832
4. Step 4: Simplify right side
   12,384x = 476,636,224
5. Step 5: Solve for x
   x = 476,636,224/12,384
6. Step 6: Final answer
   x = 38,488.07