Finding the Third Proportional to 13,002 and 20,253

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 20,253 = 20,253 : x
2. Step 2: Convert to fraction form
   13,002/20,253 = 20,253/x
3. Step 3: Cross multiply
   13,002x = 20,253 × 20,253
4. Step 4: Simplify right side
   13,002x = 410,184,009
5. Step 5: Solve for x
   x = 410,184,009/13,002
6. Step 6: Final answer
   x = 31,547.76