Finding the Third Proportional to 2,059.50 and 4,014.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,059.50 : 4,014.38 = 4,014.38 : x
2. Step 2: Convert to fraction form
   2,059.50/4,014.38 = 4,014.38/x
3. Step 3: Cross multiply
   2,059.50x = 4,014.38 × 4,014.38
4. Step 4: Simplify right side
   2,059.50x = 16,115,206.64
5. Step 5: Solve for x
   x = 16,115,206.64/2,059.50
6. Step 6: Final answer
   x = 7,824.82