Finding the Third Proportional to 2,071.50 and 4,038

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.50 : 4,038 = 4,038 : x
2. Step 2: Convert to fraction form
   2,071.50/4,038 = 4,038/x
3. Step 3: Cross multiply
   2,071.50x = 4,038 × 4,038
4. Step 4: Simplify right side
   2,071.50x = 16,305,444
5. Step 5: Solve for x
   x = 16,305,444/2,071.50
6. Step 6: Final answer
   x = 7,871.32