Finding the Third Proportional to 3,141 and 7,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,141 : 7,441.50 = 7,441.50 : x
2. Step 2: Convert to fraction form
   3,141/7,441.50 = 7,441.50/x
3. Step 3: Cross multiply
   3,141x = 7,441.50 × 7,441.50
4. Step 4: Simplify right side
   3,141x = 55,375,922.25
5. Step 5: Solve for x
   x = 55,375,922.25/3,141
6. Step 6: Final answer
   x = 17,630.03