Finding the Third Proportional to 11,300 and 12,836

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 12,836 = 12,836 : x
2. Step 2: Convert to fraction form
   11,300/12,836 = 12,836/x
3. Step 3: Cross multiply
   11,300x = 12,836 × 12,836
4. Step 4: Simplify right side
   11,300x = 164,762,896
5. Step 5: Solve for x
   x = 164,762,896/11,300
6. Step 6: Final answer
   x = 14,580.79