Finding the Third Proportional to 6,175.62 and 13,581.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,175.62 : 13,581.42 = 13,581.42 : x
2. Step 2: Convert to fraction form
   6,175.62/13,581.42 = 13,581.42/x
3. Step 3: Cross multiply
   6,175.62x = 13,581.42 × 13,581.42
4. Step 4: Simplify right side
   6,175.62x = 184,455,020.15
5. Step 5: Solve for x
   x = 184,455,020.15/6,175.62
6. Step 6: Final answer
   x = 29,868.27