Finding the Third Proportional to 6,502.78 and 14,144.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.78 : 14,144.63 = 14,144.63 : x
2. Step 2: Convert to fraction form
   6,502.78/14,144.63 = 14,144.63/x
3. Step 3: Cross multiply
   6,502.78x = 14,144.63 × 14,144.63
4. Step 4: Simplify right side
   6,502.78x = 200,070,416.39
5. Step 5: Solve for x
   x = 200,070,416.39/6,502.78
6. Step 6: Final answer
   x = 30,766.90