Finding the Third Proportional to 27,946 and 42,891

Step by Step Solution

1. Step 1: Write the proportion equation
   27,946 : 42,891 = 42,891 : x
2. Step 2: Convert to fraction form
   27,946/42,891 = 42,891/x
3. Step 3: Cross multiply
   27,946x = 42,891 × 42,891
4. Step 4: Simplify right side
   27,946x = 1,839,637,881
5. Step 5: Solve for x
   x = 1,839,637,881/27,946
6. Step 6: Final answer
   x = 65,828.31