Finding the Third Proportional to 7,071.75 and 14,724.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,071.75 : 14,724.56 = 14,724.56 : x
2. Step 2: Convert to fraction form
   7,071.75/14,724.56 = 14,724.56/x
3. Step 3: Cross multiply
   7,071.75x = 14,724.56 × 14,724.56
4. Step 4: Simplify right side
   7,071.75x = 216,812,740.82
5. Step 5: Solve for x
   x = 216,812,740.82/7,071.75
6. Step 6: Final answer
   x = 30,658.99