Finding the Third Proportional to 1,782,409 and 3,711,697

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782,409 : 3,711,697 = 3,711,697 : x
2. Step 2: Convert to fraction form
   1,782,409/3,711,697 = 3,711,697/x
3. Step 3: Cross multiply
   1,782,409x = 3,711,697 × 3,711,697
4. Step 4: Simplify right side
   1,782,409x = 13,776,694,619,809
5. Step 5: Solve for x
   x = 13,776,694,619,809/1,782,409
6. Step 6: Final answer
   x = 7,729,255.53