Finding the Third Proportional to 703.69 and 1,052.86

Step by Step Solution

1. Step 1: Write the proportion equation
   703.69 : 1,052.86 = 1,052.86 : x
2. Step 2: Convert to fraction form
   703.69/1,052.86 = 1,052.86/x
3. Step 3: Cross multiply
   703.69x = 1,052.86 × 1,052.86
4. Step 4: Simplify right side
   703.69x = 1,108,512.86
5. Step 5: Solve for x
   x = 1,108,512.86/703.69
6. Step 6: Final answer
   x = 1,575.29