Finding the Third Proportional to 34,193 and 74,215

Step by Step Solution

1. Step 1: Write the proportion equation
   34,193 : 74,215 = 74,215 : x
2. Step 2: Convert to fraction form
   34,193/74,215 = 74,215/x
3. Step 3: Cross multiply
   34,193x = 74,215 × 74,215
4. Step 4: Simplify right side
   34,193x = 5,507,866,225
5. Step 5: Solve for x
   x = 5,507,866,225/34,193
6. Step 6: Final answer
   x = 161,081.69