Finding the Third Proportional to 33,636.50 and 76,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,636.50 : 76,010.50 = 76,010.50 : x
2. Step 2: Convert to fraction form
   33,636.50/76,010.50 = 76,010.50/x
3. Step 3: Cross multiply
   33,636.50x = 76,010.50 × 76,010.50
4. Step 4: Simplify right side
   33,636.50x = 5,777,596,110.25
5. Step 5: Solve for x
   x = 5,777,596,110.25/33,636.50
6. Step 6: Final answer
   x = 171,765.67