Finding the Third Proportional to 33,075 and 71,334

Step by Step Solution

1. Step 1: Write the proportion equation
   33,075 : 71,334 = 71,334 : x
2. Step 2: Convert to fraction form
   33,075/71,334 = 71,334/x
3. Step 3: Cross multiply
   33,075x = 71,334 × 71,334
4. Step 4: Simplify right side
   33,075x = 5,088,539,556
5. Step 5: Solve for x
   x = 5,088,539,556/33,075
6. Step 6: Final answer
   x = 153,848.51