Finding the Third Proportional to 1,429.52 and 3,338.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.52 : 3,338.40 = 3,338.40 : x
2. Step 2: Convert to fraction form
   1,429.52/3,338.40 = 3,338.40/x
3. Step 3: Cross multiply
   1,429.52x = 3,338.40 × 3,338.40
4. Step 4: Simplify right side
   1,429.52x = 11,144,930.21
5. Step 5: Solve for x
   x = 11,144,930.21/1,429.52
6. Step 6: Final answer
   x = 7,796.26