Finding the Third Proportional to 6,194.60 and 13,189.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,194.60 : 13,189.71 = 13,189.71 : x
2. Step 2: Convert to fraction form
   6,194.60/13,189.71 = 13,189.71/x
3. Step 3: Cross multiply
   6,194.60x = 13,189.71 × 13,189.71
4. Step 4: Simplify right side
   6,194.60x = 173,968,474.61
5. Step 5: Solve for x
   x = 173,968,474.61/6,194.60
6. Step 6: Final answer
   x = 28,083.88