Finding the Third Proportional to 5,797,605,189,904 and 12,613,096,803,766

Step by Step Solution

1. Step 1: Write the proportion equation
   5,797,605,189,904 : 12,613,096,803,766 = 12,613,096,803,766 : x
2. Step 2: Convert to fraction form
   5,797,605,189,904/12,613,096,803,766 = 12,613,096,803,766/x
3. Step 3: Cross multiply
   5,797,605,189,904x = 12,613,096,803,766 × 12,613,096,803,766
4. Step 4: Simplify right side
   5,797,605,189,904x = 159,090,210,981,172,090,750,631,936
5. Step 5: Solve for x
   x = 159,090,210,981,172,090,750,631,936/5,797,605,189,904
6. Step 6: Final answer
   x = 27,440,676,929,538.62