Finding the Third Proportional to 27,899 and 41,870

Step by Step Solution

1. Step 1: Write the proportion equation
   27,899 : 41,870 = 41,870 : x
2. Step 2: Convert to fraction form
   27,899/41,870 = 41,870/x
3. Step 3: Cross multiply
   27,899x = 41,870 × 41,870
4. Step 4: Simplify right side
   27,899x = 1,753,096,900
5. Step 5: Solve for x
   x = 1,753,096,900/27,899
6. Step 6: Final answer
   x = 62,837.27