Finding the Third Proportional to 17,569 and 38,077

Step by Step Solution

1. Step 1: Write the proportion equation
   17,569 : 38,077 = 38,077 : x
2. Step 2: Convert to fraction form
   17,569/38,077 = 38,077/x
3. Step 3: Cross multiply
   17,569x = 38,077 × 38,077
4. Step 4: Simplify right side
   17,569x = 1,449,857,929
5. Step 5: Solve for x
   x = 1,449,857,929/17,569
6. Step 6: Final answer
   x = 82,523.65