Finding the Third Proportional to 27,731 and 42,668

Step by Step Solution

1. Step 1: Write the proportion equation
   27,731 : 42,668 = 42,668 : x
2. Step 2: Convert to fraction form
   27,731/42,668 = 42,668/x
3. Step 3: Cross multiply
   27,731x = 42,668 × 42,668
4. Step 4: Simplify right side
   27,731x = 1,820,558,224
5. Step 5: Solve for x
   x = 1,820,558,224/27,731
6. Step 6: Final answer
   x = 65,650.65