Finding the Third Proportional to 7,629.75 and 10,127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,629.75 : 10,127.25 = 10,127.25 : x
2. Step 2: Convert to fraction form
   7,629.75/10,127.25 = 10,127.25/x
3. Step 3: Cross multiply
   7,629.75x = 10,127.25 × 10,127.25
4. Step 4: Simplify right side
   7,629.75x = 102,561,192.56
5. Step 5: Solve for x
   x = 102,561,192.56/7,629.75
6. Step 6: Final answer
   x = 13,442.27