Finding the Third Proportional to 37,618 and 52,586

Step by Step Solution

1. Step 1: Write the proportion equation
   37,618 : 52,586 = 52,586 : x
2. Step 2: Convert to fraction form
   37,618/52,586 = 52,586/x
3. Step 3: Cross multiply
   37,618x = 52,586 × 52,586
4. Step 4: Simplify right side
   37,618x = 2,765,287,396
5. Step 5: Solve for x
   x = 2,765,287,396/37,618
6. Step 6: Final answer
   x = 73,509.69