Finding the Third Proportional to 33,582 and 70,618

Step by Step Solution

1. Step 1: Write the proportion equation
   33,582 : 70,618 = 70,618 : x
2. Step 2: Convert to fraction form
   33,582/70,618 = 70,618/x
3. Step 3: Cross multiply
   33,582x = 70,618 × 70,618
4. Step 4: Simplify right side
   33,582x = 4,986,901,924
5. Step 5: Solve for x
   x = 4,986,901,924/33,582
6. Step 6: Final answer
   x = 148,499.25