Finding the Third Proportional to 1,584,456 and 3,421,416

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584,456 : 3,421,416 = 3,421,416 : x
2. Step 2: Convert to fraction form
   1,584,456/3,421,416 = 3,421,416/x
3. Step 3: Cross multiply
   1,584,456x = 3,421,416 × 3,421,416
4. Step 4: Simplify right side
   1,584,456x = 11,706,087,445,056
5. Step 5: Solve for x
   x = 11,706,087,445,056/1,584,456
6. Step 6: Final answer
   x = 7,388,079.85