Finding the Third Proportional to 1,584,414 and 3,421,359

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584,414 : 3,421,359 = 3,421,359 : x
2. Step 2: Convert to fraction form
   1,584,414/3,421,359 = 3,421,359/x
3. Step 3: Cross multiply
   1,584,414x = 3,421,359 × 3,421,359
4. Step 4: Simplify right side
   1,584,414x = 11,705,697,406,881
5. Step 5: Solve for x
   x = 11,705,697,406,881/1,584,414
6. Step 6: Final answer
   x = 7,388,029.52