Finding the Third Proportional to 6,508.50 and 14,003.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,508.50 : 14,003.63 = 14,003.63 : x
2. Step 2: Convert to fraction form
   6,508.50/14,003.63 = 14,003.63/x
3. Step 3: Cross multiply
   6,508.50x = 14,003.63 × 14,003.63
4. Step 4: Simplify right side
   6,508.50x = 196,101,513.14
5. Step 5: Solve for x
   x = 196,101,513.14/6,508.50
6. Step 6: Final answer
   x = 30,130.06