Finding the Third Proportional to 33,443 and 72,646

Step by Step Solution

1. Step 1: Write the proportion equation
   33,443 : 72,646 = 72,646 : x
2. Step 2: Convert to fraction form
   33,443/72,646 = 72,646/x
3. Step 3: Cross multiply
   33,443x = 72,646 × 72,646
4. Step 4: Simplify right side
   33,443x = 5,277,441,316
5. Step 5: Solve for x
   x = 5,277,441,316/33,443
6. Step 6: Final answer
   x = 157,804.06