Finding the Third Proportional to 32,414 and 70,660

Step by Step Solution

1. Step 1: Write the proportion equation
   32,414 : 70,660 = 70,660 : x
2. Step 2: Convert to fraction form
   32,414/70,660 = 70,660/x
3. Step 3: Cross multiply
   32,414x = 70,660 × 70,660
4. Step 4: Simplify right side
   32,414x = 4,992,835,600
5. Step 5: Solve for x
   x = 4,992,835,600/32,414
6. Step 6: Final answer
   x = 154,033.31