Finding the Third Proportional to 773.50 and 1,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   773.50 : 1,722.50 = 1,722.50 : x
2. Step 2: Convert to fraction form
   773.50/1,722.50 = 1,722.50/x
3. Step 3: Cross multiply
   773.50x = 1,722.50 × 1,722.50
4. Step 4: Simplify right side
   773.50x = 2,967,006.25
5. Step 5: Solve for x
   x = 2,967,006.25/773.50
6. Step 6: Final answer
   x = 3,835.82