Finding the Third Proportional to 13,856 and 32,264

Step by Step Solution

1. Step 1: Write the proportion equation
   13,856 : 32,264 = 32,264 : x
2. Step 2: Convert to fraction form
   13,856/32,264 = 32,264/x
3. Step 3: Cross multiply
   13,856x = 32,264 × 32,264
4. Step 4: Simplify right side
   13,856x = 1,040,965,696
5. Step 5: Solve for x
   x = 1,040,965,696/13,856
6. Step 6: Final answer
   x = 75,127.43