Finding the Third Proportional to 32,646 and 67,224

Step by Step Solution

1. Step 1: Write the proportion equation
   32,646 : 67,224 = 67,224 : x
2. Step 2: Convert to fraction form
   32,646/67,224 = 67,224/x
3. Step 3: Cross multiply
   32,646x = 67,224 × 67,224
4. Step 4: Simplify right side
   32,646x = 4,519,066,176
5. Step 5: Solve for x
   x = 4,519,066,176/32,646
6. Step 6: Final answer
   x = 138,426.34