Finding the Third Proportional to 34,439 and 53,216

Step by Step Solution

1. Step 1: Write the proportion equation
   34,439 : 53,216 = 53,216 : x
2. Step 2: Convert to fraction form
   34,439/53,216 = 53,216/x
3. Step 3: Cross multiply
   34,439x = 53,216 × 53,216
4. Step 4: Simplify right side
   34,439x = 2,831,942,656
5. Step 5: Solve for x
   x = 2,831,942,656/34,439
6. Step 6: Final answer
   x = 82,230.69