Finding the Third Proportional to 33,052 and 72,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,052 : 72,692 = 72,692 : x
2. Step 2: Convert to fraction form
   33,052/72,692 = 72,692/x
3. Step 3: Cross multiply
   33,052x = 72,692 × 72,692
4. Step 4: Simplify right side
   33,052x = 5,284,126,864
5. Step 5: Solve for x
   x = 5,284,126,864/33,052
6. Step 6: Final answer
   x = 159,873.14