Finding the Third Proportional to 14,686 and 32,642

Step by Step Solution

1. Step 1: Write the proportion equation
   14,686 : 32,642 = 32,642 : x
2. Step 2: Convert to fraction form
   14,686/32,642 = 32,642/x
3. Step 3: Cross multiply
   14,686x = 32,642 × 32,642
4. Step 4: Simplify right side
   14,686x = 1,065,500,164
5. Step 5: Solve for x
   x = 1,065,500,164/14,686
6. Step 6: Final answer
   x = 72,552.10