Finding the Third Proportional to 2,523.38 and 3,669.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.38 : 3,669.75 = 3,669.75 : x
2. Step 2: Convert to fraction form
   2,523.38/3,669.75 = 3,669.75/x
3. Step 3: Cross multiply
   2,523.38x = 3,669.75 × 3,669.75
4. Step 4: Simplify right side
   2,523.38x = 13,467,065.06
5. Step 5: Solve for x
   x = 13,467,065.06/2,523.38
6. Step 6: Final answer
   x = 5,336.93