Finding the Third Proportional to 33,109 and 72,407

Step by Step Solution

1. Step 1: Write the proportion equation
   33,109 : 72,407 = 72,407 : x
2. Step 2: Convert to fraction form
   33,109/72,407 = 72,407/x
3. Step 3: Cross multiply
   33,109x = 72,407 × 72,407
4. Step 4: Simplify right side
   33,109x = 5,242,773,649
5. Step 5: Solve for x
   x = 5,242,773,649/33,109
6. Step 6: Final answer
   x = 158,348.90