Finding the Third Proportional to 5,013.56 and 10,148.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013.56 : 10,148.81 = 10,148.81 : x
2. Step 2: Convert to fraction form
   5,013.56/10,148.81 = 10,148.81/x
3. Step 3: Cross multiply
   5,013.56x = 10,148.81 × 10,148.81
4. Step 4: Simplify right side
   5,013.56x = 102,998,395.16
5. Step 5: Solve for x
   x = 102,998,395.16/5,013.56
6. Step 6: Final answer
   x = 20,543.95