Finding the Third Proportional to 33,099 and 72,147

Step by Step Solution

1. Step 1: Write the proportion equation
   33,099 : 72,147 = 72,147 : x
2. Step 2: Convert to fraction form
   33,099/72,147 = 72,147/x
3. Step 3: Cross multiply
   33,099x = 72,147 × 72,147
4. Step 4: Simplify right side
   33,099x = 5,205,189,609
5. Step 5: Solve for x
   x = 5,205,189,609/33,099
6. Step 6: Final answer
   x = 157,261.23