Finding the Third Proportional to 7,776 and 12,367

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776 : 12,367 = 12,367 : x
2. Step 2: Convert to fraction form
   7,776/12,367 = 12,367/x
3. Step 3: Cross multiply
   7,776x = 12,367 × 12,367
4. Step 4: Simplify right side
   7,776x = 152,942,689
5. Step 5: Solve for x
   x = 152,942,689/7,776
6. Step 6: Final answer
   x = 19,668.56