Finding the Third Proportional to 6,357 and 10,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,357 : 10,153.50 = 10,153.50 : x
2. Step 2: Convert to fraction form
   6,357/10,153.50 = 10,153.50/x
3. Step 3: Cross multiply
   6,357x = 10,153.50 × 10,153.50
4. Step 4: Simplify right side
   6,357x = 103,093,562.25
5. Step 5: Solve for x
   x = 103,093,562.25/6,357
6. Step 6: Final answer
   x = 16,217.33