Finding the Third Proportional to 7,144 and 14,788

Step by Step Solution

1. Step 1: Write the proportion equation
   7,144 : 14,788 = 14,788 : x
2. Step 2: Convert to fraction form
   7,144/14,788 = 14,788/x
3. Step 3: Cross multiply
   7,144x = 14,788 × 14,788
4. Step 4: Simplify right side
   7,144x = 218,684,944
5. Step 5: Solve for x
   x = 218,684,944/7,144
6. Step 6: Final answer
   x = 30,610.99