Finding the Third Proportional to 32,086 and 74,965

Step by Step Solution

1. Step 1: Write the proportion equation
   32,086 : 74,965 = 74,965 : x
2. Step 2: Convert to fraction form
   32,086/74,965 = 74,965/x
3. Step 3: Cross multiply
   32,086x = 74,965 × 74,965
4. Step 4: Simplify right side
   32,086x = 5,619,751,225
5. Step 5: Solve for x
   x = 5,619,751,225/32,086
6. Step 6: Final answer
   x = 175,146.52