Finding the Third Proportional to 33,071 and 72,277

Step by Step Solution

1. Step 1: Write the proportion equation
   33,071 : 72,277 = 72,277 : x
2. Step 2: Convert to fraction form
   33,071/72,277 = 72,277/x
3. Step 3: Cross multiply
   33,071x = 72,277 × 72,277
4. Step 4: Simplify right side
   33,071x = 5,223,964,729
5. Step 5: Solve for x
   x = 5,223,964,729/33,071
6. Step 6: Final answer
   x = 157,962.10