Finding the Third Proportional to 11,300,105,790 and 17,636,780,457

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300,105,790 : 17,636,780,457 = 17,636,780,457 : x
2. Step 2: Convert to fraction form
   11,300,105,790/17,636,780,457 = 17,636,780,457/x
3. Step 3: Cross multiply
   11,300,105,790x = 17,636,780,457 × 17,636,780,457
4. Step 4: Simplify right side
   11,300,105,790x = 311,056,024,888,417,124,352
5. Step 5: Solve for x
   x = 311,056,024,888,417,124,352/11,300,105,790
6. Step 6: Final answer
   x = 27,526,824,143.87