Finding the Third Proportional to 32,838 and 71,184

Step by Step Solution

1. Step 1: Write the proportion equation
   32,838 : 71,184 = 71,184 : x
2. Step 2: Convert to fraction form
   32,838/71,184 = 71,184/x
3. Step 3: Cross multiply
   32,838x = 71,184 × 71,184
4. Step 4: Simplify right side
   32,838x = 5,067,161,856
5. Step 5: Solve for x
   x = 5,067,161,856/32,838
6. Step 6: Final answer
   x = 154,307.87