Finding the Third Proportional to 33,106 and 70,952

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 70,952 = 70,952 : x
2. Step 2: Convert to fraction form
   33,106/70,952 = 70,952/x
3. Step 3: Cross multiply
   33,106x = 70,952 × 70,952
4. Step 4: Simplify right side
   33,106x = 5,034,186,304
5. Step 5: Solve for x
   x = 5,034,186,304/33,106
6. Step 6: Final answer
   x = 152,062.66