Finding the Third Proportional to 6,814.50 and 14,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.50 : 14,356.50 = 14,356.50 : x
2. Step 2: Convert to fraction form
   6,814.50/14,356.50 = 14,356.50/x
3. Step 3: Cross multiply
   6,814.50x = 14,356.50 × 14,356.50
4. Step 4: Simplify right side
   6,814.50x = 206,109,092.25
5. Step 5: Solve for x
   x = 206,109,092.25/6,814.50
6. Step 6: Final answer
   x = 30,245.67