Finding the Third Proportional to 5,139.75 and 10,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,139.75 : 10,685.25 = 10,685.25 : x
2. Step 2: Convert to fraction form
   5,139.75/10,685.25 = 10,685.25/x
3. Step 3: Cross multiply
   5,139.75x = 10,685.25 × 10,685.25
4. Step 4: Simplify right side
   5,139.75x = 114,174,567.56
5. Step 5: Solve for x
   x = 114,174,567.56/5,139.75
6. Step 6: Final answer
   x = 22,214.03