Finding the Third Proportional to 6,450,680,354,624 and 13,821,462,173,632

Step by Step Solution

1. Step 1: Write the proportion equation
   6,450,680,354,624 : 13,821,462,173,632 = 13,821,462,173,632 : x
2. Step 2: Convert to fraction form
   6,450,680,354,624/13,821,462,173,632 = 13,821,462,173,632/x
3. Step 3: Cross multiply
   6,450,680,354,624x = 13,821,462,173,632 × 13,821,462,173,632
4. Step 4: Simplify right side
   6,450,680,354,624x = 191,032,816,617,140,223,632,998,400
5. Step 5: Solve for x
   x = 191,032,816,617,140,223,632,998,400/6,450,680,354,624
6. Step 6: Final answer
   x = 29,614,367,185,347.11