Finding the Third Proportional to 27,439 and 40,978

Step by Step Solution

1. Step 1: Write the proportion equation
   27,439 : 40,978 = 40,978 : x
2. Step 2: Convert to fraction form
   27,439/40,978 = 40,978/x
3. Step 3: Cross multiply
   27,439x = 40,978 × 40,978
4. Step 4: Simplify right side
   27,439x = 1,679,196,484
5. Step 5: Solve for x
   x = 1,679,196,484/27,439
6. Step 6: Final answer
   x = 61,197.44