Finding the Third Proportional to 6,780 and 13,112

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 13,112 = 13,112 : x
2. Step 2: Convert to fraction form
   6,780/13,112 = 13,112/x
3. Step 3: Cross multiply
   6,780x = 13,112 × 13,112
4. Step 4: Simplify right side
   6,780x = 171,924,544
5. Step 5: Solve for x
   x = 171,924,544/6,780
6. Step 6: Final answer
   x = 25,357.60