Finding the Third Proportional to 1,535.63 and 3,336.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.63 : 3,336.61 = 3,336.61 : x
2. Step 2: Convert to fraction form
   1,535.63/3,336.61 = 3,336.61/x
3. Step 3: Cross multiply
   1,535.63x = 3,336.61 × 3,336.61
4. Step 4: Simplify right side
   1,535.63x = 11,132,962.12
5. Step 5: Solve for x
   x = 11,132,962.12/1,535.63
6. Step 6: Final answer
   x = 7,249.79