Finding the Third Proportional to 3,826,089,522,684 and 8,432,057,944,128

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826,089,522,684 : 8,432,057,944,128 = 8,432,057,944,128 : x
2. Step 2: Convert to fraction form
   3,826,089,522,684/8,432,057,944,128 = 8,432,057,944,128/x
3. Step 3: Cross multiply
   3,826,089,522,684x = 8,432,057,944,128 × 8,432,057,944,128
4. Step 4: Simplify right side
   3,826,089,522,684x = 71,099,601,173,132,112,878,895,104
5. Step 5: Solve for x
   x = 71,099,601,173,132,112,878,895,104/3,826,089,522,684
6. Step 6: Final answer
   x = 18,582,837,843,076.86