Finding the Third Proportional to 2,045.75 and 3,185.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.75 : 3,185.63 = 3,185.63 : x
2. Step 2: Convert to fraction form
   2,045.75/3,185.63 = 3,185.63/x
3. Step 3: Cross multiply
   2,045.75x = 3,185.63 × 3,185.63
4. Step 4: Simplify right side
   2,045.75x = 10,148,206.64
5. Step 5: Solve for x
   x = 10,148,206.64/2,045.75
6. Step 6: Final answer
   x = 4,960.63