Finding the Third Proportional to 14,784 and 32,162

Step by Step Solution

1. Step 1: Write the proportion equation
   14,784 : 32,162 = 32,162 : x
2. Step 2: Convert to fraction form
   14,784/32,162 = 32,162/x
3. Step 3: Cross multiply
   14,784x = 32,162 × 32,162
4. Step 4: Simplify right side
   14,784x = 1,034,394,244
5. Step 5: Solve for x
   x = 1,034,394,244/14,784
6. Step 6: Final answer
   x = 69,967.14