Finding the Third Proportional to 3,530,456,994,414 and 5,048,559,514,269

Step by Step Solution

1. Step 1: Write the proportion equation
   3,530,456,994,414 : 5,048,559,514,269 = 5,048,559,514,269 : x
2. Step 2: Convert to fraction form
   3,530,456,994,414/5,048,559,514,269 = 5,048,559,514,269/x
3. Step 3: Cross multiply
   3,530,456,994,414x = 5,048,559,514,269 × 5,048,559,514,269
4. Step 4: Simplify right side
   3,530,456,994,414x = 25,487,953,169,116,040,794,210,304
5. Step 5: Solve for x
   x = 25,487,953,169,116,040,794,210,304/3,530,456,994,414
6. Step 6: Final answer
   x = 7,219,448,702,942.39