Finding the Third Proportional to 14,642 and 32,018

Step by Step Solution

1. Step 1: Write the proportion equation
   14,642 : 32,018 = 32,018 : x
2. Step 2: Convert to fraction form
   14,642/32,018 = 32,018/x
3. Step 3: Cross multiply
   14,642x = 32,018 × 32,018
4. Step 4: Simplify right side
   14,642x = 1,025,152,324
5. Step 5: Solve for x
   x = 1,025,152,324/14,642
6. Step 6: Final answer
   x = 70,014.50