Finding the Third Proportional to 15,200 and 33,172

Step by Step Solution

1. Step 1: Write the proportion equation
   15,200 : 33,172 = 33,172 : x
2. Step 2: Convert to fraction form
   15,200/33,172 = 33,172/x
3. Step 3: Cross multiply
   15,200x = 33,172 × 33,172
4. Step 4: Simplify right side
   15,200x = 1,100,381,584
5. Step 5: Solve for x
   x = 1,100,381,584/15,200
6. Step 6: Final answer
   x = 72,393.53