Finding the Third Proportional to 11,584.63 and 25,293.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.63 : 25,293.88 = 25,293.88 : x
2. Step 2: Convert to fraction form
   11,584.63/25,293.88 = 25,293.88/x
3. Step 3: Cross multiply
   11,584.63x = 25,293.88 × 25,293.88
4. Step 4: Simplify right side
   11,584.63x = 639,780,112.52
5. Step 5: Solve for x
   x = 639,780,112.52/11,584.63
6. Step 6: Final answer
   x = 55,226.66