Finding the Third Proportional to 33,546 and 72,924

Step by Step Solution

1. Step 1: Write the proportion equation
   33,546 : 72,924 = 72,924 : x
2. Step 2: Convert to fraction form
   33,546/72,924 = 72,924/x
3. Step 3: Cross multiply
   33,546x = 72,924 × 72,924
4. Step 4: Simplify right side
   33,546x = 5,317,909,776
5. Step 5: Solve for x
   x = 5,317,909,776/33,546
6. Step 6: Final answer
   x = 158,525.90