Finding the Third Proportional to 4,606,564 and 9,508,184

Step by Step Solution

1. Step 1: Write the proportion equation
   4,606,564 : 9,508,184 = 9,508,184 : x
2. Step 2: Convert to fraction form
   4,606,564/9,508,184 = 9,508,184/x
3. Step 3: Cross multiply
   4,606,564x = 9,508,184 × 9,508,184
4. Step 4: Simplify right side
   4,606,564x = 90,405,562,977,856
5. Step 5: Solve for x
   x = 90,405,562,977,856/4,606,564
6. Step 6: Final answer
   x = 19,625,378.69