Finding the Third Proportional to 11,502 and 12,259.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,502 : 12,259.69 = 12,259.69 : x
2. Step 2: Convert to fraction form
   11,502/12,259.69 = 12,259.69/x
3. Step 3: Cross multiply
   11,502x = 12,259.69 × 12,259.69
4. Step 4: Simplify right side
   11,502x = 150,299,937.60
5. Step 5: Solve for x
   x = 150,299,937.60/11,502
6. Step 6: Final answer
   x = 13,067.29