Finding the Third Proportional to 5,460.25 and 8,181.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,460.25 : 8,181.81 = 8,181.81 : x
2. Step 2: Convert to fraction form
   5,460.25/8,181.81 = 8,181.81/x
3. Step 3: Cross multiply
   5,460.25x = 8,181.81 × 8,181.81
4. Step 4: Simplify right side
   5,460.25x = 66,942,055.79
5. Step 5: Solve for x
   x = 66,942,055.79/5,460.25
6. Step 6: Final answer
   x = 12,259.89