Finding the Third Proportional to 3,789 and 5,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789 : 5,686.50 = 5,686.50 : x
2. Step 2: Convert to fraction form
   3,789/5,686.50 = 5,686.50/x
3. Step 3: Cross multiply
   3,789x = 5,686.50 × 5,686.50
4. Step 4: Simplify right side
   3,789x = 32,336,282.25
5. Step 5: Solve for x
   x = 32,336,282.25/3,789
6. Step 6: Final answer
   x = 8,534.25