Finding the Third Proportional to 11,627,786,564 and 25,506,737,736

Step by Step Solution

1. Step 1: Write the proportion equation
   11,627,786,564 : 25,506,737,736 = 25,506,737,736 : x
2. Step 2: Convert to fraction form
   11,627,786,564/25,506,737,736 = 25,506,737,736/x
3. Step 3: Cross multiply
   11,627,786,564x = 25,506,737,736 × 25,506,737,736
4. Step 4: Simplify right side
   11,627,786,564x = 650,593,669,933,086,408,704
5. Step 5: Solve for x
   x = 650,593,669,933,086,408,704/11,627,786,564
6. Step 6: Final answer
   x = 55,951,635,021.18