Finding the Third Proportional to 1,478 and 3,242

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478 : 3,242 = 3,242 : x
2. Step 2: Convert to fraction form
   1,478/3,242 = 3,242/x
3. Step 3: Cross multiply
   1,478x = 3,242 × 3,242
4. Step 4: Simplify right side
   1,478x = 10,510,564
5. Step 5: Solve for x
   x = 10,510,564/1,478
6. Step 6: Final answer
   x = 7,111.34