Finding the Third Proportional to 3,738 and 5,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738 : 5,784.50 = 5,784.50 : x
2. Step 2: Convert to fraction form
   3,738/5,784.50 = 5,784.50/x
3. Step 3: Cross multiply
   3,738x = 5,784.50 × 5,784.50
4. Step 4: Simplify right side
   3,738x = 33,460,440.25
5. Step 5: Solve for x
   x = 33,460,440.25/3,738
6. Step 6: Final answer
   x = 8,951.43