Finding the Third Proportional to 23,856 and 32,382

Step by Step Solution

1. Step 1: Write the proportion equation
   23,856 : 32,382 = 32,382 : x
2. Step 2: Convert to fraction form
   23,856/32,382 = 32,382/x
3. Step 3: Cross multiply
   23,856x = 32,382 × 32,382
4. Step 4: Simplify right side
   23,856x = 1,048,593,924
5. Step 5: Solve for x
   x = 1,048,593,924/23,856
6. Step 6: Final answer
   x = 43,955.14