Finding the Third Proportional to 806.63 and 1,942.31

Step by Step Solution

1. Step 1: Write the proportion equation
   806.63 : 1,942.31 = 1,942.31 : x
2. Step 2: Convert to fraction form
   806.63/1,942.31 = 1,942.31/x
3. Step 3: Cross multiply
   806.63x = 1,942.31 × 1,942.31
4. Step 4: Simplify right side
   806.63x = 3,772,577.85
5. Step 5: Solve for x
   x = 3,772,577.85/806.63
6. Step 6: Final answer
   x = 4,676.99