Finding the Third Proportional to 3,728.63 and 8,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,728.63 : 8,123.25 = 8,123.25 : x
2. Step 2: Convert to fraction form
   3,728.63/8,123.25 = 8,123.25/x
3. Step 3: Cross multiply
   3,728.63x = 8,123.25 × 8,123.25
4. Step 4: Simplify right side
   3,728.63x = 65,987,190.56
5. Step 5: Solve for x
   x = 65,987,190.56/3,728.63
6. Step 6: Final answer
   x = 17,697.46