Finding the Third Proportional to 1,470 and 3,222

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470 : 3,222 = 3,222 : x
2. Step 2: Convert to fraction form
   1,470/3,222 = 3,222/x
3. Step 3: Cross multiply
   1,470x = 3,222 × 3,222
4. Step 4: Simplify right side
   1,470x = 10,381,284
5. Step 5: Solve for x
   x = 10,381,284/1,470
6. Step 6: Final answer
   x = 7,062.10