Finding the Third Proportional to 5,177,856 and 7,762,896

Step by Step Solution

1. Step 1: Write the proportion equation
   5,177,856 : 7,762,896 = 7,762,896 : x
2. Step 2: Convert to fraction form
   5,177,856/7,762,896 = 7,762,896/x
3. Step 3: Cross multiply
   5,177,856x = 7,762,896 × 7,762,896
4. Step 4: Simplify right side
   5,177,856x = 60,262,554,306,816
5. Step 5: Solve for x
   x = 60,262,554,306,816/5,177,856
6. Step 6: Final answer
   x = 11,638,514.92