Finding the Third Proportional to 6,351 and 10,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,351 : 10,162.50 = 10,162.50 : x
2. Step 2: Convert to fraction form
   6,351/10,162.50 = 10,162.50/x
3. Step 3: Cross multiply
   6,351x = 10,162.50 × 10,162.50
4. Step 4: Simplify right side
   6,351x = 103,276,406.25
5. Step 5: Solve for x
   x = 103,276,406.25/6,351
6. Step 6: Final answer
   x = 16,261.44