Finding the Third Proportional to 22,358 and 33,013

Step by Step Solution

1. Step 1: Write the proportion equation
   22,358 : 33,013 = 33,013 : x
2. Step 2: Convert to fraction form
   22,358/33,013 = 33,013/x
3. Step 3: Cross multiply
   22,358x = 33,013 × 33,013
4. Step 4: Simplify right side
   22,358x = 1,089,858,169
5. Step 5: Solve for x
   x = 1,089,858,169/22,358
6. Step 6: Final answer
   x = 48,745.78