Finding the Third Proportional to 33,075 and 71,117

Step by Step Solution

1. Step 1: Write the proportion equation
   33,075 : 71,117 = 71,117 : x
2. Step 2: Convert to fraction form
   33,075/71,117 = 71,117/x
3. Step 3: Cross multiply
   33,075x = 71,117 × 71,117
4. Step 4: Simplify right side
   33,075x = 5,057,627,689
5. Step 5: Solve for x
   x = 5,057,627,689/33,075
6. Step 6: Final answer
   x = 152,913.91