Finding the Third Proportional to 32,161 and 69,666

Step by Step Solution

1. Step 1: Write the proportion equation
   32,161 : 69,666 = 69,666 : x
2. Step 2: Convert to fraction form
   32,161/69,666 = 69,666/x
3. Step 3: Cross multiply
   32,161x = 69,666 × 69,666
4. Step 4: Simplify right side
   32,161x = 4,853,351,556
5. Step 5: Solve for x
   x = 4,853,351,556/32,161
6. Step 6: Final answer
   x = 150,907.98