Finding the Third Proportional to 6,401.53 and 13,015.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.53 : 13,015.69 = 13,015.69 : x
2. Step 2: Convert to fraction form
   6,401.53/13,015.69 = 13,015.69/x
3. Step 3: Cross multiply
   6,401.53x = 13,015.69 × 13,015.69
4. Step 4: Simplify right side
   6,401.53x = 169,408,121.10
5. Step 5: Solve for x
   x = 169,408,121.10/6,401.53
6. Step 6: Final answer
   x = 26,463.69