Finding the Third Proportional to 830.63 and 1,747.31

Step by Step Solution

1. Step 1: Write the proportion equation
   830.63 : 1,747.31 = 1,747.31 : x
2. Step 2: Convert to fraction form
   830.63/1,747.31 = 1,747.31/x
3. Step 3: Cross multiply
   830.63x = 1,747.31 × 1,747.31
4. Step 4: Simplify right side
   830.63x = 3,053,100.97
5. Step 5: Solve for x
   x = 3,053,100.97/830.63
6. Step 6: Final answer
   x = 3,675.67