Finding the Third Proportional to 33,978 and 51,943

Step by Step Solution

1. Step 1: Write the proportion equation
   33,978 : 51,943 = 51,943 : x
2. Step 2: Convert to fraction form
   33,978/51,943 = 51,943/x
3. Step 3: Cross multiply
   33,978x = 51,943 × 51,943
4. Step 4: Simplify right side
   33,978x = 2,698,075,249
5. Step 5: Solve for x
   x = 2,698,075,249/33,978
6. Step 6: Final answer
   x = 79,406.54