Finding the Third Proportional to 7,071.75 and 14,727.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,071.75 : 14,727.38 = 14,727.38 : x
2. Step 2: Convert to fraction form
   7,071.75/14,727.38 = 14,727.38/x
3. Step 3: Cross multiply
   7,071.75x = 14,727.38 × 14,727.38
4. Step 4: Simplify right side
   7,071.75x = 216,895,574.39
5. Step 5: Solve for x
   x = 216,895,574.39/7,071.75
6. Step 6: Final answer
   x = 30,670.71