Finding the Third Proportional to 33,068 and 71,752

Step by Step Solution

1. Step 1: Write the proportion equation
   33,068 : 71,752 = 71,752 : x
2. Step 2: Convert to fraction form
   33,068/71,752 = 71,752/x
3. Step 3: Cross multiply
   33,068x = 71,752 × 71,752
4. Step 4: Simplify right side
   33,068x = 5,148,349,504
5. Step 5: Solve for x
   x = 5,148,349,504/33,068
6. Step 6: Final answer
   x = 155,689.78