Finding the Third Proportional to 34,500 and 74,760

Step by Step Solution

1. Step 1: Write the proportion equation
   34,500 : 74,760 = 74,760 : x
2. Step 2: Convert to fraction form
   34,500/74,760 = 74,760/x
3. Step 3: Cross multiply
   34,500x = 74,760 × 74,760
4. Step 4: Simplify right side
   34,500x = 5,589,057,600
5. Step 5: Solve for x
   x = 5,589,057,600/34,500
6. Step 6: Final answer
   x = 162,001.67