Finding the Third Proportional to 2,029.50 and 4,337.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,029.50 : 4,337.63 = 4,337.63 : x
2. Step 2: Convert to fraction form
   2,029.50/4,337.63 = 4,337.63/x
3. Step 3: Cross multiply
   2,029.50x = 4,337.63 × 4,337.63
4. Step 4: Simplify right side
   2,029.50x = 18,814,990.64
5. Step 5: Solve for x
   x = 18,814,990.64/2,029.50
6. Step 6: Final answer
   x = 9,270.75