Finding the Third Proportional to 33,305 and 69,689

Step by Step Solution

1. Step 1: Write the proportion equation
   33,305 : 69,689 = 69,689 : x
2. Step 2: Convert to fraction form
   33,305/69,689 = 69,689/x
3. Step 3: Cross multiply
   33,305x = 69,689 × 69,689
4. Step 4: Simplify right side
   33,305x = 4,856,556,721
5. Step 5: Solve for x
   x = 4,856,556,721/33,305
6. Step 6: Final answer
   x = 145,820.65