Finding the Third Proportional to 5,131.50 and 8,184

Step by Step Solution

1. Step 1: Write the proportion equation
   5,131.50 : 8,184 = 8,184 : x
2. Step 2: Convert to fraction form
   5,131.50/8,184 = 8,184/x
3. Step 3: Cross multiply
   5,131.50x = 8,184 × 8,184
4. Step 4: Simplify right side
   5,131.50x = 66,977,856
5. Step 5: Solve for x
   x = 66,977,856/5,131.50
6. Step 6: Final answer
   x = 13,052.30