Finding the Third Proportional to 13,030 and 20,164

Step by Step Solution

1. Step 1: Write the proportion equation
   13,030 : 20,164 = 20,164 : x
2. Step 2: Convert to fraction form
   13,030/20,164 = 20,164/x
3. Step 3: Cross multiply
   13,030x = 20,164 × 20,164
4. Step 4: Simplify right side
   13,030x = 406,586,896
5. Step 5: Solve for x
   x = 406,586,896/13,030
6. Step 6: Final answer
   x = 31,203.91