Finding the Third Proportional to 3,786 and 5,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786 : 5,876.50 = 5,876.50 : x
2. Step 2: Convert to fraction form
   3,786/5,876.50 = 5,876.50/x
3. Step 3: Cross multiply
   3,786x = 5,876.50 × 5,876.50
4. Step 4: Simplify right side
   3,786x = 34,533,252.25
5. Step 5: Solve for x
   x = 34,533,252.25/3,786
6. Step 6: Final answer
   x = 9,121.30