Finding the Third Proportional to 1,018.51 and 1,576.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.51 : 1,576.02 = 1,576.02 : x
2. Step 2: Convert to fraction form
   1,018.51/1,576.02 = 1,576.02/x
3. Step 3: Cross multiply
   1,018.51x = 1,576.02 × 1,576.02
4. Step 4: Simplify right side
   1,018.51x = 2,483,837.56
5. Step 5: Solve for x
   x = 2,483,837.56/1,018.51
6. Step 6: Final answer
   x = 2,438.69