Finding the Third Proportional to 6,414,102 and 13,830,768

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414,102 : 13,830,768 = 13,830,768 : x
2. Step 2: Convert to fraction form
   6,414,102/13,830,768 = 13,830,768/x
3. Step 3: Cross multiply
   6,414,102x = 13,830,768 × 13,830,768
4. Step 4: Simplify right side
   6,414,102x = 191,290,143,469,824
5. Step 5: Solve for x
   x = 191,290,143,469,824/6,414,102
6. Step 6: Final answer
   x = 29,823,370.98