Finding the Third Proportional to 2,546 and 3,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546 : 3,890.50 = 3,890.50 : x
2. Step 2: Convert to fraction form
   2,546/3,890.50 = 3,890.50/x
3. Step 3: Cross multiply
   2,546x = 3,890.50 × 3,890.50
4. Step 4: Simplify right side
   2,546x = 15,135,990.25
5. Step 5: Solve for x
   x = 15,135,990.25/2,546
6. Step 6: Final answer
   x = 5,945.01