Finding the Third Proportional to 32,184 and 67,309

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 67,309 = 67,309 : x
2. Step 2: Convert to fraction form
   32,184/67,309 = 67,309/x
3. Step 3: Cross multiply
   32,184x = 67,309 × 67,309
4. Step 4: Simplify right side
   32,184x = 4,530,501,481
5. Step 5: Solve for x
   x = 4,530,501,481/32,184
6. Step 6: Final answer
   x = 140,768.75