Finding the Third Proportional to 1,102 and 1,470

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102 : 1,470 = 1,470 : x
2. Step 2: Convert to fraction form
   1,102/1,470 = 1,470/x
3. Step 3: Cross multiply
   1,102x = 1,470 × 1,470
4. Step 4: Simplify right side
   1,102x = 2,160,900
5. Step 5: Solve for x
   x = 2,160,900/1,102
6. Step 6: Final answer
   x = 1,960.89