Finding the Third Proportional to 34,459 and 53,238

Step by Step Solution

1. Step 1: Write the proportion equation
   34,459 : 53,238 = 53,238 : x
2. Step 2: Convert to fraction form
   34,459/53,238 = 53,238/x
3. Step 3: Cross multiply
   34,459x = 53,238 × 53,238
4. Step 4: Simplify right side
   34,459x = 2,834,284,644
5. Step 5: Solve for x
   x = 2,834,284,644/34,459
6. Step 6: Final answer
   x = 82,250.93