Finding the Third Proportional to 384 and 805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384 : 805.50 = 805.50 : x
2. Step 2: Convert to fraction form
   384/805.50 = 805.50/x
3. Step 3: Cross multiply
   384x = 805.50 × 805.50
4. Step 4: Simplify right side
   384x = 648,830.25
5. Step 5: Solve for x
   x = 648,830.25/384
6. Step 6: Final answer
   x = 1,689.66