Finding the Third Proportional to 34,172 and 72,056

Step by Step Solution

1. Step 1: Write the proportion equation
   34,172 : 72,056 = 72,056 : x
2. Step 2: Convert to fraction form
   34,172/72,056 = 72,056/x
3. Step 3: Cross multiply
   34,172x = 72,056 × 72,056
4. Step 4: Simplify right side
   34,172x = 5,192,067,136
5. Step 5: Solve for x
   x = 5,192,067,136/34,172
6. Step 6: Final answer
   x = 151,939.22