Finding the Third Proportional to 11,223 and 25,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,223 : 25,582.50 = 25,582.50 : x
2. Step 2: Convert to fraction form
   11,223/25,582.50 = 25,582.50/x
3. Step 3: Cross multiply
   11,223x = 25,582.50 × 25,582.50
4. Step 4: Simplify right side
   11,223x = 654,464,306.25
5. Step 5: Solve for x
   x = 654,464,306.25/11,223
6. Step 6: Final answer
   x = 58,314.56