Finding the Third Proportional to 15,196 and 33,133

Step by Step Solution

1. Step 1: Write the proportion equation
   15,196 : 33,133 = 33,133 : x
2. Step 2: Convert to fraction form
   15,196/33,133 = 33,133/x
3. Step 3: Cross multiply
   15,196x = 33,133 × 33,133
4. Step 4: Simplify right side
   15,196x = 1,097,795,689
5. Step 5: Solve for x
   x = 1,097,795,689/15,196
6. Step 6: Final answer
   x = 72,242.41