Finding the Third Proportional to 3,700 and 5,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,700 : 5,573.50 = 5,573.50 : x
2. Step 2: Convert to fraction form
   3,700/5,573.50 = 5,573.50/x
3. Step 3: Cross multiply
   3,700x = 5,573.50 × 5,573.50
4. Step 4: Simplify right side
   3,700x = 31,063,902.25
5. Step 5: Solve for x
   x = 31,063,902.25/3,700
6. Step 6: Final answer
   x = 8,395.65