Finding the Third Proportional to 1,885.50 and 4,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.50 : 4,089.38 = 4,089.38 : x
2. Step 2: Convert to fraction form
   1,885.50/4,089.38 = 4,089.38/x
3. Step 3: Cross multiply
   1,885.50x = 4,089.38 × 4,089.38
4. Step 4: Simplify right side
   1,885.50x = 16,722,987.89
5. Step 5: Solve for x
   x = 16,722,987.89/1,885.50
6. Step 6: Final answer
   x = 8,869.26