Finding the Third Proportional to 1,524,096 and 3,409,047

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524,096 : 3,409,047 = 3,409,047 : x
2. Step 2: Convert to fraction form
   1,524,096/3,409,047 = 3,409,047/x
3. Step 3: Cross multiply
   1,524,096x = 3,409,047 × 3,409,047
4. Step 4: Simplify right side
   1,524,096x = 11,621,601,448,209
5. Step 5: Solve for x
   x = 11,621,601,448,209/1,524,096
6. Step 6: Final answer
   x = 7,625,242.40