Finding the Third Proportional to 7,780.88 and 11,185.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.88 : 11,185.31 = 11,185.31 : x
2. Step 2: Convert to fraction form
   7,780.88/11,185.31 = 11,185.31/x
3. Step 3: Cross multiply
   7,780.88x = 11,185.31 × 11,185.31
4. Step 4: Simplify right side
   7,780.88x = 125,111,215.72
5. Step 5: Solve for x
   x = 125,111,215.72/7,780.88
6. Step 6: Final answer
   x = 16,079.32