Finding the Third Proportional to 5,821.50 and 12,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,821.50 : 12,052.50 = 12,052.50 : x
2. Step 2: Convert to fraction form
   5,821.50/12,052.50 = 12,052.50/x
3. Step 3: Cross multiply
   5,821.50x = 12,052.50 × 12,052.50
4. Step 4: Simplify right side
   5,821.50x = 145,262,756.25
5. Step 5: Solve for x
   x = 145,262,756.25/5,821.50
6. Step 6: Final answer
   x = 24,952.81