Finding the Third Proportional to 5,502 and 8,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,502 : 8,513.50 = 8,513.50 : x
2. Step 2: Convert to fraction form
   5,502/8,513.50 = 8,513.50/x
3. Step 3: Cross multiply
   5,502x = 8,513.50 × 8,513.50
4. Step 4: Simplify right side
   5,502x = 72,479,682.25
5. Step 5: Solve for x
   x = 72,479,682.25/5,502
6. Step 6: Final answer
   x = 13,173.33