Finding the Third Proportional to 32,694 and 70,128

Step by Step Solution

1. Step 1: Write the proportion equation
   32,694 : 70,128 = 70,128 : x
2. Step 2: Convert to fraction form
   32,694/70,128 = 70,128/x
3. Step 3: Cross multiply
   32,694x = 70,128 × 70,128
4. Step 4: Simplify right side
   32,694x = 4,917,936,384
5. Step 5: Solve for x
   x = 4,917,936,384/32,694
6. Step 6: Final answer
   x = 150,423.21