Finding the Third Proportional to 33,053 and 72,667

Step by Step Solution

1. Step 1: Write the proportion equation
   33,053 : 72,667 = 72,667 : x
2. Step 2: Convert to fraction form
   33,053/72,667 = 72,667/x
3. Step 3: Cross multiply
   33,053x = 72,667 × 72,667
4. Step 4: Simplify right side
   33,053x = 5,280,492,889
5. Step 5: Solve for x
   x = 5,280,492,889/33,053
6. Step 6: Final answer
   x = 159,758.35