Finding the Third Proportional to 32,456 and 70,420

Step by Step Solution

1. Step 1: Write the proportion equation
   32,456 : 70,420 = 70,420 : x
2. Step 2: Convert to fraction form
   32,456/70,420 = 70,420/x
3. Step 3: Cross multiply
   32,456x = 70,420 × 70,420
4. Step 4: Simplify right side
   32,456x = 4,958,976,400
5. Step 5: Solve for x
   x = 4,958,976,400/32,456
6. Step 6: Final answer
   x = 152,790.74