Finding the Third Proportional to 17,636 and 27,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,636 : 27,325.50 = 27,325.50 : x
2. Step 2: Convert to fraction form
   17,636/27,325.50 = 27,325.50/x
3. Step 3: Cross multiply
   17,636x = 27,325.50 × 27,325.50
4. Step 4: Simplify right side
   17,636x = 746,682,950.25
5. Step 5: Solve for x
   x = 746,682,950.25/17,636
6. Step 6: Final answer
   x = 42,338.57