Finding the Third Proportional to 6,171.82 and 13,733.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.82 : 13,733.30 = 13,733.30 : x
2. Step 2: Convert to fraction form
   6,171.82/13,733.30 = 13,733.30/x
3. Step 3: Cross multiply
   6,171.82x = 13,733.30 × 13,733.30
4. Step 4: Simplify right side
   6,171.82x = 188,603,443.06
5. Step 5: Solve for x
   x = 188,603,443.06/6,171.82
6. Step 6: Final answer
   x = 30,558.80