Finding the Third Proportional to 1,476.56 and 2,021.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476.56 : 2,021.84 = 2,021.84 : x
2. Step 2: Convert to fraction form
   1,476.56/2,021.84 = 2,021.84/x
3. Step 3: Cross multiply
   1,476.56x = 2,021.84 × 2,021.84
4. Step 4: Simplify right side
   1,476.56x = 4,087,820.56
5. Step 5: Solve for x
   x = 4,087,820.56/1,476.56
6. Step 6: Final answer
   x = 2,768.47