Finding the Third Proportional to 2,072.81 and 3,938.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.81 : 3,938.06 = 3,938.06 : x
2. Step 2: Convert to fraction form
   2,072.81/3,938.06 = 3,938.06/x
3. Step 3: Cross multiply
   2,072.81x = 3,938.06 × 3,938.06
4. Step 4: Simplify right side
   2,072.81x = 15,508,336.25
5. Step 5: Solve for x
   x = 15,508,336.25/2,072.81
6. Step 6: Final answer
   x = 7,481.78