Finding the Third Proportional to 2,782.50 and 4,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.50 : 4,090.50 = 4,090.50 : x
2. Step 2: Convert to fraction form
   2,782.50/4,090.50 = 4,090.50/x
3. Step 3: Cross multiply
   2,782.50x = 4,090.50 × 4,090.50
4. Step 4: Simplify right side
   2,782.50x = 16,732,190.25
5. Step 5: Solve for x
   x = 16,732,190.25/2,782.50
6. Step 6: Final answer
   x = 6,013.37