Finding the Third Proportional to 5,513 and 13,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,513 : 13,003.50 = 13,003.50 : x
2. Step 2: Convert to fraction form
   5,513/13,003.50 = 13,003.50/x
3. Step 3: Cross multiply
   5,513x = 13,003.50 × 13,003.50
4. Step 4: Simplify right side
   5,513x = 169,091,012.25
5. Step 5: Solve for x
   x = 169,091,012.25/5,513
6. Step 6: Final answer
   x = 30,671.32