Finding the Third Proportional to 1,680.19 and 1,942.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.19 : 1,942.31 = 1,942.31 : x
2. Step 2: Convert to fraction form
   1,680.19/1,942.31 = 1,942.31/x
3. Step 3: Cross multiply
   1,680.19x = 1,942.31 × 1,942.31
4. Step 4: Simplify right side
   1,680.19x = 3,772,577.85
5. Step 5: Solve for x
   x = 3,772,577.85/1,680.19
6. Step 6: Final answer
   x = 2,245.33