Finding the Third Proportional to 1,071.56 and 1,648.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.56 : 1,648.69 = 1,648.69 : x
2. Step 2: Convert to fraction form
   1,071.56/1,648.69 = 1,648.69/x
3. Step 3: Cross multiply
   1,071.56x = 1,648.69 × 1,648.69
4. Step 4: Simplify right side
   1,071.56x = 2,718,170.47
5. Step 5: Solve for x
   x = 2,718,170.47/1,071.56
6. Step 6: Final answer
   x = 2,536.64