Finding the Third Proportional to 1,070.72 and 2,576.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,070.72 : 2,576.42 = 2,576.42 : x
2. Step 2: Convert to fraction form
   1,070.72/2,576.42 = 2,576.42/x
3. Step 3: Cross multiply
   1,070.72x = 2,576.42 × 2,576.42
4. Step 4: Simplify right side
   1,070.72x = 6,637,924.52
5. Step 5: Solve for x
   x = 6,637,924.52/1,070.72
6. Step 6: Final answer
   x = 6,199.50