Finding the Third Proportional to 45,022 and 83,618

Step by Step Solution

1. Step 1: Write the proportion equation
   45,022 : 83,618 = 83,618 : x
2. Step 2: Convert to fraction form
   45,022/83,618 = 83,618/x
3. Step 3: Cross multiply
   45,022x = 83,618 × 83,618
4. Step 4: Simplify right side
   45,022x = 6,991,969,924
5. Step 5: Solve for x
   x = 6,991,969,924/45,022
6. Step 6: Final answer
   x = 155,301.18