Finding the Third Proportional to 33,777 and 73,501

Step by Step Solution

1. Step 1: Write the proportion equation
   33,777 : 73,501 = 73,501 : x
2. Step 2: Convert to fraction form
   33,777/73,501 = 73,501/x
3. Step 3: Cross multiply
   33,777x = 73,501 × 73,501
4. Step 4: Simplify right side
   33,777x = 5,402,397,001
5. Step 5: Solve for x
   x = 5,402,397,001/33,777
6. Step 6: Final answer
   x = 159,943.07