Finding the Third Proportional to 27,776 and 42,885

Step by Step Solution

1. Step 1: Write the proportion equation
   27,776 : 42,885 = 42,885 : x
2. Step 2: Convert to fraction form
   27,776/42,885 = 42,885/x
3. Step 3: Cross multiply
   27,776x = 42,885 × 42,885
4. Step 4: Simplify right side
   27,776x = 1,839,123,225
5. Step 5: Solve for x
   x = 1,839,123,225/27,776
6. Step 6: Final answer
   x = 66,212.67