Finding the Third Proportional to 1,680.19 and 2,034.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.19 : 2,034.56 = 2,034.56 : x
2. Step 2: Convert to fraction form
   1,680.19/2,034.56 = 2,034.56/x
3. Step 3: Cross multiply
   1,680.19x = 2,034.56 × 2,034.56
4. Step 4: Simplify right side
   1,680.19x = 4,139,444.57
5. Step 5: Solve for x
   x = 4,139,444.57/1,680.19
6. Step 6: Final answer
   x = 2,463.68