Finding the Third Proportional to 17,589.38 and 38,277.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,589.38 : 38,277.56 = 38,277.56 : x
2. Step 2: Convert to fraction form
   17,589.38/38,277.56 = 38,277.56/x
3. Step 3: Cross multiply
   17,589.38x = 38,277.56 × 38,277.56
4. Step 4: Simplify right side
   17,589.38x = 1,465,171,790.94
5. Step 5: Solve for x
   x = 1,465,171,790.94/17,589.38
6. Step 6: Final answer
   x = 83,298.68