Finding the Third Proportional to 1,052.72 and 1,582.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.72 : 1,582.59 = 1,582.59 : x
2. Step 2: Convert to fraction form
   1,052.72/1,582.59 = 1,582.59/x
3. Step 3: Cross multiply
   1,052.72x = 1,582.59 × 1,582.59
4. Step 4: Simplify right side
   1,052.72x = 2,504,602.98
5. Step 5: Solve for x
   x = 2,504,602.98/1,052.72
6. Step 6: Final answer
   x = 2,379.18