Finding the Third Proportional to 32,902 and 71,420

Step by Step Solution

1. Step 1: Write the proportion equation
   32,902 : 71,420 = 71,420 : x
2. Step 2: Convert to fraction form
   32,902/71,420 = 71,420/x
3. Step 3: Cross multiply
   32,902x = 71,420 × 71,420
4. Step 4: Simplify right side
   32,902x = 5,100,816,400
5. Step 5: Solve for x
   x = 5,100,816,400/32,902
6. Step 6: Final answer
   x = 155,030.59