Finding the Third Proportional to 2,089.63 and 3,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.63 : 3,239.50 = 3,239.50 : x
2. Step 2: Convert to fraction form
   2,089.63/3,239.50 = 3,239.50/x
3. Step 3: Cross multiply
   2,089.63x = 3,239.50 × 3,239.50
4. Step 4: Simplify right side
   2,089.63x = 10,494,360.25
5. Step 5: Solve for x
   x = 10,494,360.25/2,089.63
6. Step 6: Final answer
   x = 5,022.13