Finding the Third Proportional to 5,976.56 and 16,259.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,976.56 : 16,259.63 = 16,259.63 : x
2. Step 2: Convert to fraction form
   5,976.56/16,259.63 = 16,259.63/x
3. Step 3: Cross multiply
   5,976.56x = 16,259.63 × 16,259.63
4. Step 4: Simplify right side
   5,976.56x = 264,375,405.14
5. Step 5: Solve for x
   x = 264,375,405.14/5,976.56
6. Step 6: Final answer
   x = 44,235.36