Finding the Third Proportional to 3,670.50 and 8,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,670.50 : 8,024.25 = 8,024.25 : x
2. Step 2: Convert to fraction form
   3,670.50/8,024.25 = 8,024.25/x
3. Step 3: Cross multiply
   3,670.50x = 8,024.25 × 8,024.25
4. Step 4: Simplify right side
   3,670.50x = 64,388,588.06
5. Step 5: Solve for x
   x = 64,388,588.06/3,670.50
6. Step 6: Final answer
   x = 17,542.18