Finding the Third Proportional to 14,780 and 32,152

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780 : 32,152 = 32,152 : x
2. Step 2: Convert to fraction form
   14,780/32,152 = 32,152/x
3. Step 3: Cross multiply
   14,780x = 32,152 × 32,152
4. Step 4: Simplify right side
   14,780x = 1,033,751,104
5. Step 5: Solve for x
   x = 1,033,751,104/14,780
6. Step 6: Final answer
   x = 69,942.56