Finding the Third Proportional to 2,782.50 and 5,835

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.50 : 5,835 = 5,835 : x
2. Step 2: Convert to fraction form
   2,782.50/5,835 = 5,835/x
3. Step 3: Cross multiply
   2,782.50x = 5,835 × 5,835
4. Step 4: Simplify right side
   2,782.50x = 34,047,225
5. Step 5: Solve for x
   x = 34,047,225/2,782.50
6. Step 6: Final answer
   x = 12,236.20