Finding the Third Proportional to 23,584 and 33,328

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 33,328 = 33,328 : x
2. Step 2: Convert to fraction form
   23,584/33,328 = 33,328/x
3. Step 3: Cross multiply
   23,584x = 33,328 × 33,328
4. Step 4: Simplify right side
   23,584x = 1,110,755,584
5. Step 5: Solve for x
   x = 1,110,755,584/23,584
6. Step 6: Final answer
   x = 47,097.85