Finding the Third Proportional to 6,946.86 and 10,776.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.86 : 10,776.24 = 10,776.24 : x
2. Step 2: Convert to fraction form
   6,946.86/10,776.24 = 10,776.24/x
3. Step 3: Cross multiply
   6,946.86x = 10,776.24 × 10,776.24
4. Step 4: Simplify right side
   6,946.86x = 116,127,416.73
5. Step 5: Solve for x
   x = 116,127,416.73/6,946.86
6. Step 6: Final answer
   x = 16,716.54