Finding the Third Proportional to 6,130.69 and 7,477.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,130.69 : 7,477.31 = 7,477.31 : x
2. Step 2: Convert to fraction form
   6,130.69/7,477.31 = 7,477.31/x
3. Step 3: Cross multiply
   6,130.69x = 7,477.31 × 7,477.31
4. Step 4: Simplify right side
   6,130.69x = 55,910,202.22
5. Step 5: Solve for x
   x = 55,910,202.22/6,130.69
6. Step 6: Final answer
   x = 9,119.73