Finding the Third Proportional to 33,970 and 73,147

Step by Step Solution

1. Step 1: Write the proportion equation
   33,970 : 73,147 = 73,147 : x
2. Step 2: Convert to fraction form
   33,970/73,147 = 73,147/x
3. Step 3: Cross multiply
   33,970x = 73,147 × 73,147
4. Step 4: Simplify right side
   33,970x = 5,350,483,609
5. Step 5: Solve for x
   x = 5,350,483,609/33,970
6. Step 6: Final answer
   x = 157,506.14