Finding the Third Proportional to 771 and 2,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   771 : 2,071.50 = 2,071.50 : x
2. Step 2: Convert to fraction form
   771/2,071.50 = 2,071.50/x
3. Step 3: Cross multiply
   771x = 2,071.50 × 2,071.50
4. Step 4: Simplify right side
   771x = 4,291,112.25
5. Step 5: Solve for x
   x = 4,291,112.25/771
6. Step 6: Final answer
   x = 5,565.64