Finding the Third Proportional to 3,471.75 and 7,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,471.75 : 7,072.50 = 7,072.50 : x
2. Step 2: Convert to fraction form
   3,471.75/7,072.50 = 7,072.50/x
3. Step 3: Cross multiply
   3,471.75x = 7,072.50 × 7,072.50
4. Step 4: Simplify right side
   3,471.75x = 50,020,256.25
5. Step 5: Solve for x
   x = 50,020,256.25/3,471.75
6. Step 6: Final answer
   x = 14,407.79