Finding the Third Proportional to 7,836 and 12,314

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836 : 12,314 = 12,314 : x
2. Step 2: Convert to fraction form
   7,836/12,314 = 12,314/x
3. Step 3: Cross multiply
   7,836x = 12,314 × 12,314
4. Step 4: Simplify right side
   7,836x = 151,634,596
5. Step 5: Solve for x
   x = 151,634,596/7,836
6. Step 6: Final answer
   x = 19,351.02