Finding the Third Proportional to 1,823,564 and 4,221,225

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823,564 : 4,221,225 = 4,221,225 : x
2. Step 2: Convert to fraction form
   1,823,564/4,221,225 = 4,221,225/x
3. Step 3: Cross multiply
   1,823,564x = 4,221,225 × 4,221,225
4. Step 4: Simplify right side
   1,823,564x = 17,818,740,500,625
5. Step 5: Solve for x
   x = 17,818,740,500,625/1,823,564
6. Step 6: Final answer
   x = 9,771,382.03