Finding the Third Proportional to 5,013.56 and 7,762.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013.56 : 7,762.22 = 7,762.22 : x
2. Step 2: Convert to fraction form
   5,013.56/7,762.22 = 7,762.22/x
3. Step 3: Cross multiply
   5,013.56x = 7,762.22 × 7,762.22
4. Step 4: Simplify right side
   5,013.56x = 60,252,039.92
5. Step 5: Solve for x
   x = 60,252,039.92/5,013.56
6. Step 6: Final answer
   x = 12,017.81