Finding the Third Proportional to 32,838 and 71,180

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838 : 71,180 = 71,180 : x
2. Step 2: Convert to fraction form
   32,838/71,180 = 71,180/x
3. Step 3: Cross multiply
   32,838x = 71,180 × 71,180
4. Step 4: Simplify right side
   32,838x = 5,066,592,400
5. Step 5: Solve for x
   x = 5,066,592,400/32,838
6. Step 6: Final answer
   x = 154,290.53