Finding the Third Proportional to 6,919.50 and 14,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,919.50 : 14,554.50 = 14,554.50 : x
2. Step 2: Convert to fraction form
   6,919.50/14,554.50 = 14,554.50/x
3. Step 3: Cross multiply
   6,919.50x = 14,554.50 × 14,554.50
4. Step 4: Simplify right side
   6,919.50x = 211,833,470.25
5. Step 5: Solve for x
   x = 211,833,470.25/6,919.50
6. Step 6: Final answer
   x = 30,613.99