Finding the Third Proportional to 6,450,680,362,385 and 13,821,462,188,642

Step by Step Solution

1. Step 1: Write the proportion equation
   6,450,680,362,385 : 13,821,462,188,642 = 13,821,462,188,642 : x
2. Step 2: Convert to fraction form
   6,450,680,362,385/13,821,462,188,642 = 13,821,462,188,642/x
3. Step 3: Cross multiply
   6,450,680,362,385x = 13,821,462,188,642 × 13,821,462,188,642
4. Step 4: Simplify right side
   6,450,680,362,385x = 191,032,817,032,060,521,425,141,760
5. Step 5: Solve for x
   x = 191,032,817,032,060,521,425,141,760/6,450,680,362,385
6. Step 6: Final answer
   x = 29,614,367,214,039.15