Finding the Third Proportional to 31,576 and 45,618

Step by Step Solution

1. Step 1: Write the proportion equation
   31,576 : 45,618 = 45,618 : x
2. Step 2: Convert to fraction form
   31,576/45,618 = 45,618/x
3. Step 3: Cross multiply
   31,576x = 45,618 × 45,618
4. Step 4: Simplify right side
   31,576x = 2,081,001,924
5. Step 5: Solve for x
   x = 2,081,001,924/31,576
6. Step 6: Final answer
   x = 65,904.55