Finding the Third Proportional to 34,610 and 54,223

Step by Step Solution

1. Step 1: Write the proportion equation
   34,610 : 54,223 = 54,223 : x
2. Step 2: Convert to fraction form
   34,610/54,223 = 54,223/x
3. Step 3: Cross multiply
   34,610x = 54,223 × 54,223
4. Step 4: Simplify right side
   34,610x = 2,940,133,729
5. Step 5: Solve for x
   x = 2,940,133,729/34,610
6. Step 6: Final answer
   x = 84,950.41