Finding the Third Proportional to 51,961 and 83,679

Step by Step Solution

1. Step 1: Write the proportion equation
   51,961 : 83,679 = 83,679 : x
2. Step 2: Convert to fraction form
   51,961/83,679 = 83,679/x
3. Step 3: Cross multiply
   51,961x = 83,679 × 83,679
4. Step 4: Simplify right side
   51,961x = 7,002,175,041
5. Step 5: Solve for x
   x = 7,002,175,041/51,961
6. Step 6: Final answer
   x = 134,758.28