Finding the Third Proportional to 6,567 and 10,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,567 : 10,036.50 = 10,036.50 : x
2. Step 2: Convert to fraction form
   6,567/10,036.50 = 10,036.50/x
3. Step 3: Cross multiply
   6,567x = 10,036.50 × 10,036.50
4. Step 4: Simplify right side
   6,567x = 100,731,332.25
5. Step 5: Solve for x
   x = 100,731,332.25/6,567
6. Step 6: Final answer
   x = 15,339.02