Finding the Third Proportional to 20,789 and 39,662

Step by Step Solution

1. Step 1: Write the proportion equation
   20,789 : 39,662 = 39,662 : x
2. Step 2: Convert to fraction form
   20,789/39,662 = 39,662/x
3. Step 3: Cross multiply
   20,789x = 39,662 × 39,662
4. Step 4: Simplify right side
   20,789x = 1,573,074,244
5. Step 5: Solve for x
   x = 1,573,074,244/20,789
6. Step 6: Final answer
   x = 75,668.59