Finding the Third Proportional to 2,165.06 and 5,059.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.06 : 5,059.55 = 5,059.55 : x
2. Step 2: Convert to fraction form
   2,165.06/5,059.55 = 5,059.55/x
3. Step 3: Cross multiply
   2,165.06x = 5,059.55 × 5,059.55
4. Step 4: Simplify right side
   2,165.06x = 25,599,014.58
5. Step 5: Solve for x
   x = 25,599,014.58/2,165.06
6. Step 6: Final answer
   x = 11,823.68