Finding the Third Proportional to 1,584,310 and 3,421,142

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584,310 : 3,421,142 = 3,421,142 : x
2. Step 2: Convert to fraction form
   1,584,310/3,421,142 = 3,421,142/x
3. Step 3: Cross multiply
   1,584,310x = 3,421,142 × 3,421,142
4. Step 4: Simplify right side
   1,584,310x = 11,704,212,584,164
5. Step 5: Solve for x
   x = 11,704,212,584,164/1,584,310
6. Step 6: Final answer
   x = 7,387,577.29