Finding the Third Proportional to 1,782.84 and 3,042.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.84 : 3,042.56 = 3,042.56 : x
2. Step 2: Convert to fraction form
   1,782.84/3,042.56 = 3,042.56/x
3. Step 3: Cross multiply
   1,782.84x = 3,042.56 × 3,042.56
4. Step 4: Simplify right side
   1,782.84x = 9,257,186.57
5. Step 5: Solve for x
   x = 9,257,186.57/1,782.84
6. Step 6: Final answer
   x = 5,192.37