Finding the Third Proportional to 4,291,968 and 6,438,464

Step by Step Solution

1. Step 1: Write the proportion equation
   4,291,968 : 6,438,464 = 6,438,464 : x
2. Step 2: Convert to fraction form
   4,291,968/6,438,464 = 6,438,464/x
3. Step 3: Cross multiply
   4,291,968x = 6,438,464 × 6,438,464
4. Step 4: Simplify right side
   4,291,968x = 41,453,818,679,296
5. Step 5: Solve for x
   x = 41,453,818,679,296/4,291,968
6. Step 6: Final answer
   x = 9,658,464.06