Finding the Third Proportional to 3,710.50 and 5,738.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,710.50 : 5,738.03 = 5,738.03 : x
2. Step 2: Convert to fraction form
   3,710.50/5,738.03 = 5,738.03/x
3. Step 3: Cross multiply
   3,710.50x = 5,738.03 × 5,738.03
4. Step 4: Simplify right side
   3,710.50x = 32,924,957.80
5. Step 5: Solve for x
   x = 32,924,957.80/3,710.50
6. Step 6: Final answer
   x = 8,873.47