Finding the Third Proportional to 32,646 and 70,832

Step by Step Solution

1. Step 1: Write the proportion equation
   32,646 : 70,832 = 70,832 : x
2. Step 2: Convert to fraction form
   32,646/70,832 = 70,832/x
3. Step 3: Cross multiply
   32,646x = 70,832 × 70,832
4. Step 4: Simplify right side
   32,646x = 5,017,172,224
5. Step 5: Solve for x
   x = 5,017,172,224/32,646
6. Step 6: Final answer
   x = 153,684.13