Finding the Third Proportional to 3,838.88 and 5,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.88 : 5,734.50 = 5,734.50 : x
2. Step 2: Convert to fraction form
   3,838.88/5,734.50 = 5,734.50/x
3. Step 3: Cross multiply
   3,838.88x = 5,734.50 × 5,734.50
4. Step 4: Simplify right side
   3,838.88x = 32,884,490.25
5. Step 5: Solve for x
   x = 32,884,490.25/3,838.88
6. Step 6: Final answer
   x = 8,566.18