Finding the Third Proportional to 3,783 and 6,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783 : 6,100.50 = 6,100.50 : x
2. Step 2: Convert to fraction form
   3,783/6,100.50 = 6,100.50/x
3. Step 3: Cross multiply
   3,783x = 6,100.50 × 6,100.50
4. Step 4: Simplify right side
   3,783x = 37,216,100.25
5. Step 5: Solve for x
   x = 37,216,100.25/3,783
6. Step 6: Final answer
   x = 9,837.72