Finding the Third Proportional to 13,768 and 22,172

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 22,172 = 22,172 : x
2. Step 2: Convert to fraction form
   13,768/22,172 = 22,172/x
3. Step 3: Cross multiply
   13,768x = 22,172 × 22,172
4. Step 4: Simplify right side
   13,768x = 491,597,584
5. Step 5: Solve for x
   x = 491,597,584/13,768
6. Step 6: Final answer
   x = 35,705.81