Finding the Third Proportional to 12,100 and 20,172

Step by Step Solution

1. Step 1: Write the proportion equation
   12,100 : 20,172 = 20,172 : x
2. Step 2: Convert to fraction form
   12,100/20,172 = 20,172/x
3. Step 3: Cross multiply
   12,100x = 20,172 × 20,172
4. Step 4: Simplify right side
   12,100x = 406,909,584
5. Step 5: Solve for x
   x = 406,909,584/12,100
6. Step 6: Final answer
   x = 33,628.89