Finding the Third Proportional to 32,020 and 70,268

Step by Step Solution

1. Step 1: Write the proportion equation
   32,020 : 70,268 = 70,268 : x
2. Step 2: Convert to fraction form
   32,020/70,268 = 70,268/x
3. Step 3: Cross multiply
   32,020x = 70,268 × 70,268
4. Step 4: Simplify right side
   32,020x = 4,937,591,824
5. Step 5: Solve for x
   x = 4,937,591,824/32,020
6. Step 6: Final answer
   x = 154,203.37