Finding the Third Proportional to 6,085.13 and 13,186.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,085.13 : 13,186.55 = 13,186.55 : x
2. Step 2: Convert to fraction form
   6,085.13/13,186.55 = 13,186.55/x
3. Step 3: Cross multiply
   6,085.13x = 13,186.55 × 13,186.55
4. Step 4: Simplify right side
   6,085.13x = 173,885,018.49
5. Step 5: Solve for x
   x = 173,885,018.49/6,085.13
6. Step 6: Final answer
   x = 28,575.42