Finding the Third Proportional to 25,584.50 and 35,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,584.50 : 35,790.50 = 35,790.50 : x
2. Step 2: Convert to fraction form
   25,584.50/35,790.50 = 35,790.50/x
3. Step 3: Cross multiply
   25,584.50x = 35,790.50 × 35,790.50
4. Step 4: Simplify right side
   25,584.50x = 1,280,959,890.25
5. Step 5: Solve for x
   x = 1,280,959,890.25/25,584.50
6. Step 6: Final answer
   x = 50,067.81