Finding the Third Proportional to 34,561 and 74,018

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561 : 74,018 = 74,018 : x
2. Step 2: Convert to fraction form
   34,561/74,018 = 74,018/x
3. Step 3: Cross multiply
   34,561x = 74,018 × 74,018
4. Step 4: Simplify right side
   34,561x = 5,478,664,324
5. Step 5: Solve for x
   x = 5,478,664,324/34,561
6. Step 6: Final answer
   x = 158,521.58