Finding the Third Proportional to 31,708 and 74,986

Step by Step Solution

1. Step 1: Write the proportion equation
   31,708 : 74,986 = 74,986 : x
2. Step 2: Convert to fraction form
   31,708/74,986 = 74,986/x
3. Step 3: Cross multiply
   31,708x = 74,986 × 74,986
4. Step 4: Simplify right side
   31,708x = 5,622,900,196
5. Step 5: Solve for x
   x = 5,622,900,196/31,708
6. Step 6: Final answer
   x = 177,333.80