Finding the Third Proportional to 1,406,400 and 3,031,824

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406,400 : 3,031,824 = 3,031,824 : x
2. Step 2: Convert to fraction form
   1,406,400/3,031,824 = 3,031,824/x
3. Step 3: Cross multiply
   1,406,400x = 3,031,824 × 3,031,824
4. Step 4: Simplify right side
   1,406,400x = 9,191,956,766,976
5. Step 5: Solve for x
   x = 9,191,956,766,976/1,406,400
6. Step 6: Final answer
   x = 6,535,805.44