Finding the Third Proportional to 6,507 and 14,176.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507 : 14,176.69 = 14,176.69 : x
2. Step 2: Convert to fraction form
   6,507/14,176.69 = 14,176.69/x
3. Step 3: Cross multiply
   6,507x = 14,176.69 × 14,176.69
4. Step 4: Simplify right side
   6,507x = 200,978,468.47
5. Step 5: Solve for x
   x = 200,978,468.47/6,507
6. Step 6: Final answer
   x = 30,886.50