Finding the Third Proportional to 1,000.69 and 1,432.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.69 : 1,432.69 = 1,432.69 : x
2. Step 2: Convert to fraction form
   1,000.69/1,432.69 = 1,432.69/x
3. Step 3: Cross multiply
   1,000.69x = 1,432.69 × 1,432.69
4. Step 4: Simplify right side
   1,000.69x = 2,052,593.47
5. Step 5: Solve for x
   x = 2,052,593.47/1,000.69
6. Step 6: Final answer
   x = 2,051.18