Finding the Third Proportional to 2,265.47 and 3,190.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265.47 : 3,190.31 = 3,190.31 : x
2. Step 2: Convert to fraction form
   2,265.47/3,190.31 = 3,190.31/x
3. Step 3: Cross multiply
   2,265.47x = 3,190.31 × 3,190.31
4. Step 4: Simplify right side
   2,265.47x = 10,178,093.85
5. Step 5: Solve for x
   x = 10,178,093.85/2,265.47
6. Step 6: Final answer
   x = 4,492.71