Finding the Third Proportional to 883.50 and 1,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   883.50 : 1,327.50 = 1,327.50 : x
2. Step 2: Convert to fraction form
   883.50/1,327.50 = 1,327.50/x
3. Step 3: Cross multiply
   883.50x = 1,327.50 × 1,327.50
4. Step 4: Simplify right side
   883.50x = 1,762,256.25
5. Step 5: Solve for x
   x = 1,762,256.25/883.50
6. Step 6: Final answer
   x = 1,994.63