Finding the Third Proportional to 33,588 and 73,316.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 73,316.25 = 73,316.25 : x
2. Step 2: Convert to fraction form
   33,588/73,316.25 = 73,316.25/x
3. Step 3: Cross multiply
   33,588x = 73,316.25 × 73,316.25
4. Step 4: Simplify right side
   33,588x = 5,375,272,514.06
5. Step 5: Solve for x
   x = 5,375,272,514.06/33,588
6. Step 6: Final answer
   x = 160,035.50