Finding the Third Proportional to 5,709,564 and 8,206,648

Step by Step Solution

1. Step 1: Write the proportion equation
   5,709,564 : 8,206,648 = 8,206,648 : x
2. Step 2: Convert to fraction form
   5,709,564/8,206,648 = 8,206,648/x
3. Step 3: Cross multiply
   5,709,564x = 8,206,648 × 8,206,648
4. Step 4: Simplify right side
   5,709,564x = 67,349,071,395,904
5. Step 5: Solve for x
   x = 67,349,071,395,904/5,709,564
6. Step 6: Final answer
   x = 11,795,834.39