Finding the Third Proportional to 5,677,823 and 8,514,646

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677,823 : 8,514,646 = 8,514,646 : x
2. Step 2: Convert to fraction form
   5,677,823/8,514,646 = 8,514,646/x
3. Step 3: Cross multiply
   5,677,823x = 8,514,646 × 8,514,646
4. Step 4: Simplify right side
   5,677,823x = 72,499,196,505,316
5. Step 5: Solve for x
   x = 72,499,196,505,316/5,677,823
6. Step 6: Final answer
   x = 12,768,837.02