Finding the Third Proportional to 1,071.56 and 1,658.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.56 : 1,658.81 = 1,658.81 : x
2. Step 2: Convert to fraction form
   1,071.56/1,658.81 = 1,658.81/x
3. Step 3: Cross multiply
   1,071.56x = 1,658.81 × 1,658.81
4. Step 4: Simplify right side
   1,071.56x = 2,751,658.91
5. Step 5: Solve for x
   x = 2,751,658.91/1,071.56
6. Step 6: Final answer
   x = 2,567.89