Finding the Third Proportional to 1,685.81 and 2,123.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.81 : 2,123.72 = 2,123.72 : x
2. Step 2: Convert to fraction form
   1,685.81/2,123.72 = 2,123.72/x
3. Step 3: Cross multiply
   1,685.81x = 2,123.72 × 2,123.72
4. Step 4: Simplify right side
   1,685.81x = 4,510,181.33
5. Step 5: Solve for x
   x = 4,510,181.33/1,685.81
6. Step 6: Final answer
   x = 2,675.38