Finding the Third Proportional to 33,210 and 71,952

Step by Step Solution

1. Step 1: Write the proportion equation
   33,210 : 71,952 = 71,952 : x
2. Step 2: Convert to fraction form
   33,210/71,952 = 71,952/x
3. Step 3: Cross multiply
   33,210x = 71,952 × 71,952
4. Step 4: Simplify right side
   33,210x = 5,177,090,304
5. Step 5: Solve for x
   x = 5,177,090,304/33,210
6. Step 6: Final answer
   x = 155,889.50