Finding the Third Proportional to 4,871.25 and 7,124.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,871.25 : 7,124.63 = 7,124.63 : x
2. Step 2: Convert to fraction form
   4,871.25/7,124.63 = 7,124.63/x
3. Step 3: Cross multiply
   4,871.25x = 7,124.63 × 7,124.63
4. Step 4: Simplify right side
   4,871.25x = 50,760,281.39
5. Step 5: Solve for x
   x = 50,760,281.39/4,871.25
6. Step 6: Final answer
   x = 10,420.38