Finding the Third Proportional to 5,756.06 and 9,181.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,756.06 : 9,181.69 = 9,181.69 : x
2. Step 2: Convert to fraction form
   5,756.06/9,181.69 = 9,181.69/x
3. Step 3: Cross multiply
   5,756.06x = 9,181.69 × 9,181.69
4. Step 4: Simplify right side
   5,756.06x = 84,303,385.35
5. Step 5: Solve for x
   x = 84,303,385.35/5,756.06
6. Step 6: Final answer
   x = 14,646.02