Finding the Third Proportional to 731 and 1,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   731 : 1,764.50 = 1,764.50 : x
2. Step 2: Convert to fraction form
   731/1,764.50 = 1,764.50/x
3. Step 3: Cross multiply
   731x = 1,764.50 × 1,764.50
4. Step 4: Simplify right side
   731x = 3,113,460.25
5. Step 5: Solve for x
   x = 3,113,460.25/731
6. Step 6: Final answer
   x = 4,259.18