Finding the Third Proportional to 1,683.75 and 2,662.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.75 : 2,662.88 = 2,662.88 : x
2. Step 2: Convert to fraction form
   1,683.75/2,662.88 = 2,662.88/x
3. Step 3: Cross multiply
   1,683.75x = 2,662.88 × 2,662.88
4. Step 4: Simplify right side
   1,683.75x = 7,090,903.27
5. Step 5: Solve for x
   x = 7,090,903.27/1,683.75
6. Step 6: Final answer
   x = 4,211.38