Finding the Third Proportional to 11,264 and 13,112

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 13,112 = 13,112 : x
2. Step 2: Convert to fraction form
   11,264/13,112 = 13,112/x
3. Step 3: Cross multiply
   11,264x = 13,112 × 13,112
4. Step 4: Simplify right side
   11,264x = 171,924,544
5. Step 5: Solve for x
   x = 171,924,544/11,264
6. Step 6: Final answer
   x = 15,263.19