Finding the Third Proportional to 6,211.69 and 14,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,211.69 : 14,678.72 = 14,678.72 : x
2. Step 2: Convert to fraction form
   6,211.69/14,678.72 = 14,678.72/x
3. Step 3: Cross multiply
   6,211.69x = 14,678.72 × 14,678.72
4. Step 4: Simplify right side
   6,211.69x = 215,464,784.14
5. Step 5: Solve for x
   x = 215,464,784.14/6,211.69
6. Step 6: Final answer
   x = 34,687.00