Finding the Third Proportional to 5,823.75 and 12,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823.75 : 12,574.50 = 12,574.50 : x
2. Step 2: Convert to fraction form
   5,823.75/12,574.50 = 12,574.50/x
3. Step 3: Cross multiply
   5,823.75x = 12,574.50 × 12,574.50
4. Step 4: Simplify right side
   5,823.75x = 158,118,050.25
5. Step 5: Solve for x
   x = 158,118,050.25/5,823.75
6. Step 6: Final answer
   x = 27,150.56