Finding the Third Proportional to 6,451.50 and 14,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,451.50 : 14,077.50 = 14,077.50 : x
2. Step 2: Convert to fraction form
   6,451.50/14,077.50 = 14,077.50/x
3. Step 3: Cross multiply
   6,451.50x = 14,077.50 × 14,077.50
4. Step 4: Simplify right side
   6,451.50x = 198,176,006.25
5. Step 5: Solve for x
   x = 198,176,006.25/6,451.50
6. Step 6: Final answer
   x = 30,717.82