Finding the Third Proportional to 11,415,442,002 and 17,464,348,123

Step by Step Solution

1. Step 1: Write the proportion equation
   11,415,442,002 : 17,464,348,123 = 17,464,348,123 : x
2. Step 2: Convert to fraction form
   11,415,442,002/17,464,348,123 = 17,464,348,123/x
3. Step 3: Cross multiply
   11,415,442,002x = 17,464,348,123 × 17,464,348,123
4. Step 4: Simplify right side
   11,415,442,002x = 305,003,455,361,333,592,064
5. Step 5: Solve for x
   x = 305,003,455,361,333,592,064/11,415,442,002
6. Step 6: Final answer
   x = 26,718,497,217.01