Finding the Third Proportional to 4,100.63 and 6,424.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,100.63 : 6,424.31 = 6,424.31 : x
2. Step 2: Convert to fraction form
   4,100.63/6,424.31 = 6,424.31/x
3. Step 3: Cross multiply
   4,100.63x = 6,424.31 × 6,424.31
4. Step 4: Simplify right side
   4,100.63x = 41,271,791.10
5. Step 5: Solve for x
   x = 41,271,791.10/4,100.63
6. Step 6: Final answer
   x = 10,064.76