Finding the Third Proportional to 1,640.67 and 2,101.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.67 : 2,101.57 = 2,101.57 : x
2. Step 2: Convert to fraction form
   1,640.67/2,101.57 = 2,101.57/x
3. Step 3: Cross multiply
   1,640.67x = 2,101.57 × 2,101.57
4. Step 4: Simplify right side
   1,640.67x = 4,416,597.78
5. Step 5: Solve for x
   x = 4,416,597.78/1,640.67
6. Step 6: Final answer
   x = 2,691.94