Finding the Third Proportional to 1,243.50 and 1,682.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,243.50 : 1,682.88 = 1,682.88 : x
2. Step 2: Convert to fraction form
   1,243.50/1,682.88 = 1,682.88/x
3. Step 3: Cross multiply
   1,243.50x = 1,682.88 × 1,682.88
4. Step 4: Simplify right side
   1,243.50x = 2,832,068.27
5. Step 5: Solve for x
   x = 2,832,068.27/1,243.50
6. Step 6: Final answer
   x = 2,277.50