Finding the Third Proportional to 34,686 and 75,980

Step by Step Solution

1. Step 1: Write the proportion equation
   34,686 : 75,980 = 75,980 : x
2. Step 2: Convert to fraction form
   34,686/75,980 = 75,980/x
3. Step 3: Cross multiply
   34,686x = 75,980 × 75,980
4. Step 4: Simplify right side
   34,686x = 5,772,960,400
5. Step 5: Solve for x
   x = 5,772,960,400/34,686
6. Step 6: Final answer
   x = 166,434.88