Finding the Third Proportional to 10,199.25 and 24,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 24,556.50 = 24,556.50 : x
2. Step 2: Convert to fraction form
   10,199.25/24,556.50 = 24,556.50/x
3. Step 3: Cross multiply
   10,199.25x = 24,556.50 × 24,556.50
4. Step 4: Simplify right side
   10,199.25x = 603,021,692.25
5. Step 5: Solve for x
   x = 603,021,692.25/10,199.25
6. Step 6: Final answer
   x = 59,124.12