Finding the Third Proportional to 33,213 and 72,906

Step by Step Solution

1. Step 1: Write the proportion equation
   33,213 : 72,906 = 72,906 : x
2. Step 2: Convert to fraction form
   33,213/72,906 = 72,906/x
3. Step 3: Cross multiply
   33,213x = 72,906 × 72,906
4. Step 4: Simplify right side
   33,213x = 5,315,284,836
5. Step 5: Solve for x
   x = 5,315,284,836/33,213
6. Step 6: Final answer
   x = 160,036.28