Finding the Third Proportional to 32,007 and 69,834

Step by Step Solution

1. Step 1: Write the proportion equation
   32,007 : 69,834 = 69,834 : x
2. Step 2: Convert to fraction form
   32,007/69,834 = 69,834/x
3. Step 3: Cross multiply
   32,007x = 69,834 × 69,834
4. Step 4: Simplify right side
   32,007x = 4,876,787,556
5. Step 5: Solve for x
   x = 4,876,787,556/32,007
6. Step 6: Final answer
   x = 152,366.28