Finding the Third Proportional to 3,765 and 5,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765 : 5,836.50 = 5,836.50 : x
2. Step 2: Convert to fraction form
   3,765/5,836.50 = 5,836.50/x
3. Step 3: Cross multiply
   3,765x = 5,836.50 × 5,836.50
4. Step 4: Simplify right side
   3,765x = 34,064,732.25
5. Step 5: Solve for x
   x = 34,064,732.25/3,765
6. Step 6: Final answer
   x = 9,047.74