Finding the Third Proportional to 31,206 and 73,668

Step by Step Solution

1. Step 1: Write the proportion equation
   31,206 : 73,668 = 73,668 : x
2. Step 2: Convert to fraction form
   31,206/73,668 = 73,668/x
3. Step 3: Cross multiply
   31,206x = 73,668 × 73,668
4. Step 4: Simplify right side
   31,206x = 5,426,974,224
5. Step 5: Solve for x
   x = 5,426,974,224/31,206
6. Step 6: Final answer
   x = 173,908.04