Finding the Third Proportional to 1,773.75 and 4,142.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,773.75 : 4,142.88 = 4,142.88 : x
2. Step 2: Convert to fraction form
   1,773.75/4,142.88 = 4,142.88/x
3. Step 3: Cross multiply
   1,773.75x = 4,142.88 × 4,142.88
4. Step 4: Simplify right side
   1,773.75x = 17,163,413.27
5. Step 5: Solve for x
   x = 17,163,413.27/1,773.75
6. Step 6: Final answer
   x = 9,676.34