Finding the Third Proportional to 5,665.88 and 12,181.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.88 : 12,181.88 = 12,181.88 : x
2. Step 2: Convert to fraction form
   5,665.88/12,181.88 = 12,181.88/x
3. Step 3: Cross multiply
   5,665.88x = 12,181.88 × 12,181.88
4. Step 4: Simplify right side
   5,665.88x = 148,398,078.52
5. Step 5: Solve for x
   x = 148,398,078.52/5,665.88
6. Step 6: Final answer
   x = 26,191.56