Finding the Third Proportional to 33,692 and 72,956

Step by Step Solution

1. Step 1: Write the proportion equation
   33,692 : 72,956 = 72,956 : x
2. Step 2: Convert to fraction form
   33,692/72,956 = 72,956/x
3. Step 3: Cross multiply
   33,692x = 72,956 × 72,956
4. Step 4: Simplify right side
   33,692x = 5,322,577,936
5. Step 5: Solve for x
   x = 5,322,577,936/33,692
6. Step 6: Final answer
   x = 157,977.50