Finding the Third Proportional to 11,627,786,560 and 25,506,737,728

Step by Step Solution

1. Step 1: Write the proportion equation
   11,627,786,560 : 25,506,737,728 = 25,506,737,728 : x
2. Step 2: Convert to fraction form
   11,627,786,560/25,506,737,728 = 25,506,737,728/x
3. Step 3: Cross multiply
   11,627,786,560x = 25,506,737,728 × 25,506,737,728
4. Step 4: Simplify right side
   11,627,786,560x = 650,593,669,524,978,663,424
5. Step 5: Solve for x
   x = 650,593,669,524,978,663,424/11,627,786,560
6. Step 6: Final answer
   x = 55,951,635,005.33