Finding the Third Proportional to 33,656 and 72,885

Step by Step Solution

1. Step 1: Write the proportion equation
   33,656 : 72,885 = 72,885 : x
2. Step 2: Convert to fraction form
   33,656/72,885 = 72,885/x
3. Step 3: Cross multiply
   33,656x = 72,885 × 72,885
4. Step 4: Simplify right side
   33,656x = 5,312,223,225
5. Step 5: Solve for x
   x = 5,312,223,225/33,656
6. Step 6: Final answer
   x = 157,838.82