Finding the Third Proportional to 1,686,936 and 3,643,296

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,936 : 3,643,296 = 3,643,296 : x
2. Step 2: Convert to fraction form
   1,686,936/3,643,296 = 3,643,296/x
3. Step 3: Cross multiply
   1,686,936x = 3,643,296 × 3,643,296
4. Step 4: Simplify right side
   1,686,936x = 13,273,605,743,616
5. Step 5: Solve for x
   x = 13,273,605,743,616/1,686,936
6. Step 6: Final answer
   x = 7,868,470.26