Finding the Third Proportional to 1,747.75 and 3,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.75 : 3,734.50 = 3,734.50 : x
2. Step 2: Convert to fraction form
   1,747.75/3,734.50 = 3,734.50/x
3. Step 3: Cross multiply
   1,747.75x = 3,734.50 × 3,734.50
4. Step 4: Simplify right side
   1,747.75x = 13,946,490.25
5. Step 5: Solve for x
   x = 13,946,490.25/1,747.75
6. Step 6: Final answer
   x = 7,979.68