Finding the Third Proportional to 8,309.25 and 10,778.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,309.25 : 10,778.06 = 10,778.06 : x
2. Step 2: Convert to fraction form
   8,309.25/10,778.06 = 10,778.06/x
3. Step 3: Cross multiply
   8,309.25x = 10,778.06 × 10,778.06
4. Step 4: Simplify right side
   8,309.25x = 116,166,631.25
5. Step 5: Solve for x
   x = 116,166,631.25/8,309.25
6. Step 6: Final answer
   x = 13,980.40