Finding the Third Proportional to 13,382 and 20,172

Step by Step Solution

1. Step 1: Write the proportion equation
   13,382 : 20,172 = 20,172 : x
2. Step 2: Convert to fraction form
   13,382/20,172 = 20,172/x
3. Step 3: Cross multiply
   13,382x = 20,172 × 20,172
4. Step 4: Simplify right side
   13,382x = 406,909,584
5. Step 5: Solve for x
   x = 406,909,584/13,382
6. Step 6: Final answer
   x = 30,407.23