Finding the Third Proportional to 33,075 and 72,113.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,075 : 72,113.63 = 72,113.63 : x
2. Step 2: Convert to fraction form
   33,075/72,113.63 = 72,113.63/x
3. Step 3: Cross multiply
   33,075x = 72,113.63 × 72,113.63
4. Step 4: Simplify right side
   33,075x = 5,200,374,910.64
5. Step 5: Solve for x
   x = 5,200,374,910.64/33,075
6. Step 6: Final answer
   x = 157,229.78