Finding the Third Proportional to 14,680 and 32,006

Step by Step Solution

1. Step 1: Write the proportion equation
   14,680 : 32,006 = 32,006 : x
2. Step 2: Convert to fraction form
   14,680/32,006 = 32,006/x
3. Step 3: Cross multiply
   14,680x = 32,006 × 32,006
4. Step 4: Simplify right side
   14,680x = 1,024,384,036
5. Step 5: Solve for x
   x = 1,024,384,036/14,680
6. Step 6: Final answer
   x = 69,780.93