Finding the Third Proportional to 1,076.41 and 1,576.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.41 : 1,576.18 = 1,576.18 : x
2. Step 2: Convert to fraction form
   1,076.41/1,576.18 = 1,576.18/x
3. Step 3: Cross multiply
   1,076.41x = 1,576.18 × 1,576.18
4. Step 4: Simplify right side
   1,076.41x = 2,484,336.25
5. Step 5: Solve for x
   x = 2,484,336.25/1,076.41
6. Step 6: Final answer
   x = 2,307.97