Finding the Third Proportional to 11,425,643,820 and 17,647,848,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,425,643,820 : 17,647,848,648 = 17,647,848,648 : x
2. Step 2: Convert to fraction form
   11,425,643,820/17,647,848,648 = 17,647,848,648/x
3. Step 3: Cross multiply
   11,425,643,820x = 17,647,848,648 × 17,647,848,648
4. Step 4: Simplify right side
   11,425,643,820x = 311,446,561,902,715,404,288
5. Step 5: Solve for x
   x = 311,446,561,902,715,404,288/11,425,643,820
6. Step 6: Final answer
   x = 27,258,556,875.15