Finding the Third Proportional to 2,157.38 and 2,386.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,157.38 : 2,386.88 = 2,386.88 : x
2. Step 2: Convert to fraction form
   2,157.38/2,386.88 = 2,386.88/x
3. Step 3: Cross multiply
   2,157.38x = 2,386.88 × 2,386.88
4. Step 4: Simplify right side
   2,157.38x = 5,697,172.27
5. Step 5: Solve for x
   x = 5,697,172.27/2,157.38
6. Step 6: Final answer
   x = 2,640.79