Finding the Third Proportional to 5,709,684 and 8,406,816

Step by Step Solution

1. Step 1: Write the proportion equation
   5,709,684 : 8,406,816 = 8,406,816 : x
2. Step 2: Convert to fraction form
   5,709,684/8,406,816 = 8,406,816/x
3. Step 3: Cross multiply
   5,709,684x = 8,406,816 × 8,406,816
4. Step 4: Simplify right side
   5,709,684x = 70,674,555,257,856
5. Step 5: Solve for x
   x = 70,674,555,257,856/5,709,684
6. Step 6: Final answer
   x = 12,378,015.19