Finding the Third Proportional to 32,006 and 69,790

Step by Step Solution

1. Step 1: Write the proportion equation
   32,006 : 69,790 = 69,790 : x
2. Step 2: Convert to fraction form
   32,006/69,790 = 69,790/x
3. Step 3: Cross multiply
   32,006x = 69,790 × 69,790
4. Step 4: Simplify right side
   32,006x = 4,870,644,100
5. Step 5: Solve for x
   x = 4,870,644,100/32,006
6. Step 6: Final answer
   x = 152,179.09