Finding the Third Proportional to 5,797,605,190,322 and 12,613,096,804,593

Step by Step Solution

1. Step 1: Write the proportion equation
   5,797,605,190,322 : 12,613,096,804,593 = 12,613,096,804,593 : x
2. Step 2: Convert to fraction form
   5,797,605,190,322/12,613,096,804,593 = 12,613,096,804,593/x
3. Step 3: Cross multiply
   5,797,605,190,322x = 12,613,096,804,593 × 12,613,096,804,593
4. Step 4: Simplify right side
   5,797,605,190,322x = 159,090,211,002,034,155,656,577,024
5. Step 5: Solve for x
   x = 159,090,211,002,034,155,656,577,024/5,797,605,190,322
6. Step 6: Final answer
   x = 27,440,676,931,158.58