Finding the Third Proportional to 13,178 and 20,038

Step by Step Solution

1. Step 1: Write the proportion equation
   13,178 : 20,038 = 20,038 : x
2. Step 2: Convert to fraction form
   13,178/20,038 = 20,038/x
3. Step 3: Cross multiply
   13,178x = 20,038 × 20,038
4. Step 4: Simplify right side
   13,178x = 401,521,444
5. Step 5: Solve for x
   x = 401,521,444/13,178
6. Step 6: Final answer
   x = 30,469.07