Finding the Third Proportional to 31,668 and 69,656

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 69,656 = 69,656 : x
2. Step 2: Convert to fraction form
   31,668/69,656 = 69,656/x
3. Step 3: Cross multiply
   31,668x = 69,656 × 69,656
4. Step 4: Simplify right side
   31,668x = 4,851,958,336
5. Step 5: Solve for x
   x = 4,851,958,336/31,668
6. Step 6: Final answer
   x = 153,213.29