Finding the Third Proportional to 820.69 and 1,927.69

Step by Step Solution

1. Step 1: Write the proportion equation
   820.69 : 1,927.69 = 1,927.69 : x
2. Step 2: Convert to fraction form
   820.69/1,927.69 = 1,927.69/x
3. Step 3: Cross multiply
   820.69x = 1,927.69 × 1,927.69
4. Step 4: Simplify right side
   820.69x = 3,715,979.10
5. Step 5: Solve for x
   x = 3,715,979.10/820.69
6. Step 6: Final answer
   x = 4,527.89