Finding the Third Proportional to 1,784.25 and 2,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.25 : 2,678.63 = 2,678.63 : x
2. Step 2: Convert to fraction form
   1,784.25/2,678.63 = 2,678.63/x
3. Step 3: Cross multiply
   1,784.25x = 2,678.63 × 2,678.63
4. Step 4: Simplify right side
   1,784.25x = 7,175,031.89
5. Step 5: Solve for x
   x = 7,175,031.89/1,784.25
6. Step 6: Final answer
   x = 4,021.32