Finding the Third Proportional to 1,123.56 and 1,682.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.56 : 1,682.02 = 1,682.02 : x
2. Step 2: Convert to fraction form
   1,123.56/1,682.02 = 1,682.02/x
3. Step 3: Cross multiply
   1,123.56x = 1,682.02 × 1,682.02
4. Step 4: Simplify right side
   1,123.56x = 2,829,176.56
5. Step 5: Solve for x
   x = 2,829,176.56/1,123.56
6. Step 6: Final answer
   x = 2,518.05