Finding the Third Proportional to 1,470 and 2,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470 : 2,196.75 = 2,196.75 : x
2. Step 2: Convert to fraction form
   1,470/2,196.75 = 2,196.75/x
3. Step 3: Cross multiply
   1,470x = 2,196.75 × 2,196.75
4. Step 4: Simplify right side
   1,470x = 4,825,710.56
5. Step 5: Solve for x
   x = 4,825,710.56/1,470
6. Step 6: Final answer
   x = 3,282.80