Finding the Third Proportional to 2,105.25 and 4,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.25 : 4,432.50 = 4,432.50 : x
2. Step 2: Convert to fraction form
   2,105.25/4,432.50 = 4,432.50/x
3. Step 3: Cross multiply
   2,105.25x = 4,432.50 × 4,432.50
4. Step 4: Simplify right side
   2,105.25x = 19,647,056.25
5. Step 5: Solve for x
   x = 19,647,056.25/2,105.25
6. Step 6: Final answer
   x = 9,332.41