Finding the Third Proportional to 6,316 and 13,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,316 : 13,401.50 = 13,401.50 : x
2. Step 2: Convert to fraction form
   6,316/13,401.50 = 13,401.50/x
3. Step 3: Cross multiply
   6,316x = 13,401.50 × 13,401.50
4. Step 4: Simplify right side
   6,316x = 179,600,202.25
5. Step 5: Solve for x
   x = 179,600,202.25/6,316
6. Step 6: Final answer
   x = 28,435.75