Finding the Third Proportional to 13,102 and 20,034

Step by Step Solution

1. Step 1: Write the proportion equation
   13,102 : 20,034 = 20,034 : x
2. Step 2: Convert to fraction form
   13,102/20,034 = 20,034/x
3. Step 3: Cross multiply
   13,102x = 20,034 × 20,034
4. Step 4: Simplify right side
   13,102x = 401,361,156
5. Step 5: Solve for x
   x = 401,361,156/13,102
6. Step 6: Final answer
   x = 30,633.58