Finding the Third Proportional to 3,096,768 and 4,646,496

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096,768 : 4,646,496 = 4,646,496 : x
2. Step 2: Convert to fraction form
   3,096,768/4,646,496 = 4,646,496/x
3. Step 3: Cross multiply
   3,096,768x = 4,646,496 × 4,646,496
4. Step 4: Simplify right side
   3,096,768x = 21,589,925,078,016
5. Step 5: Solve for x
   x = 21,589,925,078,016/3,096,768
6. Step 6: Final answer
   x = 6,971,760.58