Finding the Third Proportional to 5,013 and 10,147.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013 : 10,147.69 = 10,147.69 : x
2. Step 2: Convert to fraction form
   5,013/10,147.69 = 10,147.69/x
3. Step 3: Cross multiply
   5,013x = 10,147.69 × 10,147.69
4. Step 4: Simplify right side
   5,013x = 102,975,561.60
5. Step 5: Solve for x
   x = 102,975,561.60/5,013
6. Step 6: Final answer
   x = 20,541.70