Finding the Third Proportional to 15,384 and 33,468

Step by Step Solution

1. Step 1: Write the proportion equation
   15,384 : 33,468 = 33,468 : x
2. Step 2: Convert to fraction form
   15,384/33,468 = 33,468/x
3. Step 3: Cross multiply
   15,384x = 33,468 × 33,468
4. Step 4: Simplify right side
   15,384x = 1,120,107,024
5. Step 5: Solve for x
   x = 1,120,107,024/15,384
6. Step 6: Final answer
   x = 72,809.87