Finding the Third Proportional to 2,239 and 3,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,239 : 3,419.50 = 3,419.50 : x
2. Step 2: Convert to fraction form
   2,239/3,419.50 = 3,419.50/x
3. Step 3: Cross multiply
   2,239x = 3,419.50 × 3,419.50
4. Step 4: Simplify right side
   2,239x = 11,692,980.25
5. Step 5: Solve for x
   x = 11,692,980.25/2,239
6. Step 6: Final answer
   x = 5,222.41