Finding the Third Proportional to 23,382 and 33,844

Step by Step Solution

1. Step 1: Write the proportion equation
   23,382 : 33,844 = 33,844 : x
2. Step 2: Convert to fraction form
   23,382/33,844 = 33,844/x
3. Step 3: Cross multiply
   23,382x = 33,844 × 33,844
4. Step 4: Simplify right side
   23,382x = 1,145,416,336
5. Step 5: Solve for x
   x = 1,145,416,336/23,382
6. Step 6: Final answer
   x = 48,987.10