Finding the Third Proportional to 1,756 and 2,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,756 : 2,343.50 = 2,343.50 : x
2. Step 2: Convert to fraction form
   1,756/2,343.50 = 2,343.50/x
3. Step 3: Cross multiply
   1,756x = 2,343.50 × 2,343.50
4. Step 4: Simplify right side
   1,756x = 5,491,992.25
5. Step 5: Solve for x
   x = 5,491,992.25/1,756
6. Step 6: Final answer
   x = 3,127.56