Finding the Third Proportional to 1,829.95 and 4,069.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,829.95 : 4,069.27 = 4,069.27 : x
2. Step 2: Convert to fraction form
   1,829.95/4,069.27 = 4,069.27/x
3. Step 3: Cross multiply
   1,829.95x = 4,069.27 × 4,069.27
4. Step 4: Simplify right side
   1,829.95x = 16,558,922.73
5. Step 5: Solve for x
   x = 16,558,922.73/1,829.95
6. Step 6: Final answer
   x = 9,048.82