Finding the Third Proportional to 2,071.75 and 4,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.75 : 4,038.50 = 4,038.50 : x
2. Step 2: Convert to fraction form
   2,071.75/4,038.50 = 4,038.50/x
3. Step 3: Cross multiply
   2,071.75x = 4,038.50 × 4,038.50
4. Step 4: Simplify right side
   2,071.75x = 16,309,482.25
5. Step 5: Solve for x
   x = 16,309,482.25/2,071.75
6. Step 6: Final answer
   x = 7,872.32