Finding the Third Proportional to 7,072.50 and 7,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,072.50 : 7,720.50 = 7,720.50 : x
2. Step 2: Convert to fraction form
   7,072.50/7,720.50 = 7,720.50/x
3. Step 3: Cross multiply
   7,072.50x = 7,720.50 × 7,720.50
4. Step 4: Simplify right side
   7,072.50x = 59,606,120.25
5. Step 5: Solve for x
   x = 59,606,120.25/7,072.50
6. Step 6: Final answer
   x = 8,427.87