Finding the Third Proportional to 32,836 and 70,280

Step by Step Solution

1. Step 1: Write the proportion equation
   32,836 : 70,280 = 70,280 : x
2. Step 2: Convert to fraction form
   32,836/70,280 = 70,280/x
3. Step 3: Cross multiply
   32,836x = 70,280 × 70,280
4. Step 4: Simplify right side
   32,836x = 4,939,278,400
5. Step 5: Solve for x
   x = 4,939,278,400/32,836
6. Step 6: Final answer
   x = 150,422.66