Finding the Third Proportional to 6,506.50 and 10,372

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.50 : 10,372 = 10,372 : x
2. Step 2: Convert to fraction form
   6,506.50/10,372 = 10,372/x
3. Step 3: Cross multiply
   6,506.50x = 10,372 × 10,372
4. Step 4: Simplify right side
   6,506.50x = 107,578,384
5. Step 5: Solve for x
   x = 107,578,384/6,506.50
6. Step 6: Final answer
   x = 16,533.99