Finding the Third Proportional to 795.50 and 1,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   795.50 : 1,662.50 = 1,662.50 : x
2. Step 2: Convert to fraction form
   795.50/1,662.50 = 1,662.50/x
3. Step 3: Cross multiply
   795.50x = 1,662.50 × 1,662.50
4. Step 4: Simplify right side
   795.50x = 2,763,906.25
5. Step 5: Solve for x
   x = 2,763,906.25/795.50
6. Step 6: Final answer
   x = 3,474.43