Finding the Third Proportional to 33,938 and 72,892

Step by Step Solution

1. Step 1: Write the proportion equation
   33,938 : 72,892 = 72,892 : x
2. Step 2: Convert to fraction form
   33,938/72,892 = 72,892/x
3. Step 3: Cross multiply
   33,938x = 72,892 × 72,892
4. Step 4: Simplify right side
   33,938x = 5,313,243,664
5. Step 5: Solve for x
   x = 5,313,243,664/33,938
6. Step 6: Final answer
   x = 156,557.36