Finding the Third Proportional to 26,618 and 37,010

Step by Step Solution

1. Step 1: Write the proportion equation
   26,618 : 37,010 = 37,010 : x
2. Step 2: Convert to fraction form
   26,618/37,010 = 37,010/x
3. Step 3: Cross multiply
   26,618x = 37,010 × 37,010
4. Step 4: Simplify right side
   26,618x = 1,369,740,100
5. Step 5: Solve for x
   x = 1,369,740,100/26,618
6. Step 6: Final answer
   x = 51,459.17