Finding the Third Proportional to 5,916,681,004,769 and 12,723,802,155,146

Step by Step Solution

1. Step 1: Write the proportion equation
   5,916,681,004,769 : 12,723,802,155,146 = 12,723,802,155,146 : x
2. Step 2: Convert to fraction form
   5,916,681,004,769/12,723,802,155,146 = 12,723,802,155,146/x
3. Step 3: Cross multiply
   5,916,681,004,769x = 12,723,802,155,146 × 12,723,802,155,146
4. Step 4: Simplify right side
   5,916,681,004,769x = 161,895,141,283,297,989,463,375,872
5. Step 5: Solve for x
   x = 161,895,141,283,297,989,463,375,872/5,916,681,004,769
6. Step 6: Final answer
   x = 27,362,492,781,477.70