Finding the Third Proportional to 11,300,105,792 and 17,636,780,460

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300,105,792 : 17,636,780,460 = 17,636,780,460 : x
2. Step 2: Convert to fraction form
   11,300,105,792/17,636,780,460 = 17,636,780,460/x
3. Step 3: Cross multiply
   11,300,105,792x = 17,636,780,460 × 17,636,780,460
4. Step 4: Simplify right side
   11,300,105,792x = 311,056,024,994,237,841,408
5. Step 5: Solve for x
   x = 311,056,024,994,237,841,408/11,300,105,792
6. Step 6: Final answer
   x = 27,526,824,148.36