Finding the Third Proportional to 27,837 and 49,061

Step by Step Solution

1. Step 1: Write the proportion equation
   27,837 : 49,061 = 49,061 : x
2. Step 2: Convert to fraction form
   27,837/49,061 = 49,061/x
3. Step 3: Cross multiply
   27,837x = 49,061 × 49,061
4. Step 4: Simplify right side
   27,837x = 2,406,981,721
5. Step 5: Solve for x
   x = 2,406,981,721/27,837
6. Step 6: Final answer
   x = 86,466.99