Finding the Third Proportional to 34,356 and 37,668

Step by Step Solution

1. Step 1: Write the proportion equation
   34,356 : 37,668 = 37,668 : x
2. Step 2: Convert to fraction form
   34,356/37,668 = 37,668/x
3. Step 3: Cross multiply
   34,356x = 37,668 × 37,668
4. Step 4: Simplify right side
   34,356x = 1,418,878,224
5. Step 5: Solve for x
   x = 1,418,878,224/34,356
6. Step 6: Final answer
   x = 41,299.28