Finding the Third Proportional to 6,381 and 10,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,381 : 10,147.50 = 10,147.50 : x
2. Step 2: Convert to fraction form
   6,381/10,147.50 = 10,147.50/x
3. Step 3: Cross multiply
   6,381x = 10,147.50 × 10,147.50
4. Step 4: Simplify right side
   6,381x = 102,971,756.25
5. Step 5: Solve for x
   x = 102,971,756.25/6,381
6. Step 6: Final answer
   x = 16,137.24