Finding the Third Proportional to 10,778.06 and 11,909.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.06 : 11,909.53 = 11,909.53 : x
2. Step 2: Convert to fraction form
   10,778.06/11,909.53 = 11,909.53/x
3. Step 3: Cross multiply
   10,778.06x = 11,909.53 × 11,909.53
4. Step 4: Simplify right side
   10,778.06x = 141,836,934.59
5. Step 5: Solve for x
   x = 141,836,934.59/10,778.06
6. Step 6: Final answer
   x = 13,159.78