Finding the Third Proportional to 6,199.50 and 13,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,199.50 : 13,401.75 = 13,401.75 : x
2. Step 2: Convert to fraction form
   6,199.50/13,401.75 = 13,401.75/x
3. Step 3: Cross multiply
   6,199.50x = 13,401.75 × 13,401.75
4. Step 4: Simplify right side
   6,199.50x = 179,606,903.06
5. Step 5: Solve for x
   x = 179,606,903.06/6,199.50
6. Step 6: Final answer
   x = 28,971.19