Finding the Third Proportional to 13,854 and 32,367

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854 : 32,367 = 32,367 : x
2. Step 2: Convert to fraction form
   13,854/32,367 = 32,367/x
3. Step 3: Cross multiply
   13,854x = 32,367 × 32,367
4. Step 4: Simplify right side
   13,854x = 1,047,622,689
5. Step 5: Solve for x
   x = 1,047,622,689/13,854
6. Step 6: Final answer
   x = 75,618.79