Finding the Third Proportional to 11,194.50 and 24,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,194.50 : 24,574.50 = 24,574.50 : x
2. Step 2: Convert to fraction form
   11,194.50/24,574.50 = 24,574.50/x
3. Step 3: Cross multiply
   11,194.50x = 24,574.50 × 24,574.50
4. Step 4: Simplify right side
   11,194.50x = 603,906,050.25
5. Step 5: Solve for x
   x = 603,906,050.25/11,194.50
6. Step 6: Final answer
   x = 53,946.67