Finding the Third Proportional to 1,534.57 and 3,719.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.57 : 3,719.67 = 3,719.67 : x
2. Step 2: Convert to fraction form
   1,534.57/3,719.67 = 3,719.67/x
3. Step 3: Cross multiply
   1,534.57x = 3,719.67 × 3,719.67
4. Step 4: Simplify right side
   1,534.57x = 13,835,958.86
5. Step 5: Solve for x
   x = 13,835,958.86/1,534.57
6. Step 6: Final answer
   x = 9,016.18