Finding the Third Proportional to 7,986 and 17,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,986 : 17,541.50 = 17,541.50 : x
2. Step 2: Convert to fraction form
   7,986/17,541.50 = 17,541.50/x
3. Step 3: Cross multiply
   7,986x = 17,541.50 × 17,541.50
4. Step 4: Simplify right side
   7,986x = 307,704,222.25
5. Step 5: Solve for x
   x = 307,704,222.25/7,986
6. Step 6: Final answer
   x = 38,530.46