Finding the Third Proportional to 25,666 and 37,668

Step by Step Solution

1. Step 1: Write the proportion equation
   25,666 : 37,668 = 37,668 : x
2. Step 2: Convert to fraction form
   25,666/37,668 = 37,668/x
3. Step 3: Cross multiply
   25,666x = 37,668 × 37,668
4. Step 4: Simplify right side
   25,666x = 1,418,878,224
5. Step 5: Solve for x
   x = 1,418,878,224/25,666
6. Step 6: Final answer
   x = 55,282.41