Finding the Third Proportional to 1,406.74 and 3,237.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 3,237.79 = 3,237.79 : x
2. Step 2: Convert to fraction form
   1,406.74/3,237.79 = 3,237.79/x
3. Step 3: Cross multiply
   1,406.74x = 3,237.79 × 3,237.79
4. Step 4: Simplify right side
   1,406.74x = 10,483,252.72
5. Step 5: Solve for x
   x = 10,483,252.72/1,406.74
6. Step 6: Final answer
   x = 7,452.15