Finding the Third Proportional to 2,347.94 and 3,633.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,347.94 : 3,633.69 = 3,633.69 : x
2. Step 2: Convert to fraction form
   2,347.94/3,633.69 = 3,633.69/x
3. Step 3: Cross multiply
   2,347.94x = 3,633.69 × 3,633.69
4. Step 4: Simplify right side
   2,347.94x = 13,203,684.85
5. Step 5: Solve for x
   x = 13,203,684.85/2,347.94
6. Step 6: Final answer
   x = 5,623.52