Finding the Third Proportional to 33,099 and 72,023

Step by Step Solution

1. Step 1: Write the proportion equation
   33,099 : 72,023 = 72,023 : x
2. Step 2: Convert to fraction form
   33,099/72,023 = 72,023/x
3. Step 3: Cross multiply
   33,099x = 72,023 × 72,023
4. Step 4: Simplify right side
   33,099x = 5,187,312,529
5. Step 5: Solve for x
   x = 5,187,312,529/33,099
6. Step 6: Final answer
   x = 156,721.13