Finding the Third Proportional to 6,240,163,647,216 and 12,655,786,507,802

Step by Step Solution

1. Step 1: Write the proportion equation
   6,240,163,647,216 : 12,655,786,507,802 = 12,655,786,507,802 : x
2. Step 2: Convert to fraction form
   6,240,163,647,216/12,655,786,507,802 = 12,655,786,507,802/x
3. Step 3: Cross multiply
   6,240,163,647,216x = 12,655,786,507,802 × 12,655,786,507,802
4. Step 4: Simplify right side
   6,240,163,647,216x = 160,168,932,131,063,142,685,868,032
5. Step 5: Solve for x
   x = 160,168,932,131,063,142,685,868,032/6,240,163,647,216
6. Step 6: Final answer
   x = 25,667,424,956,478.71