Finding the Third Proportional to 14,780 and 32,012

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780 : 32,012 = 32,012 : x
2. Step 2: Convert to fraction form
   14,780/32,012 = 32,012/x
3. Step 3: Cross multiply
   14,780x = 32,012 × 32,012
4. Step 4: Simplify right side
   14,780x = 1,024,768,144
5. Step 5: Solve for x
   x = 1,024,768,144/14,780
6. Step 6: Final answer
   x = 69,334.79