Finding the Third Proportional to 1,765,996 and 3,814,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765,996 : 3,814,216 = 3,814,216 : x
2. Step 2: Convert to fraction form
   1,765,996/3,814,216 = 3,814,216/x
3. Step 3: Cross multiply
   1,765,996x = 3,814,216 × 3,814,216
4. Step 4: Simplify right side
   1,765,996x = 14,548,243,694,656
5. Step 5: Solve for x
   x = 14,548,243,694,656/1,765,996
6. Step 6: Final answer
   x = 8,237,982.25