Finding the Third Proportional to 59,540 and 101,406

Step by Step Solution

1. Step 1: Write the proportion equation
   59,540 : 101,406 = 101,406 : x
2. Step 2: Convert to fraction form
   59,540/101,406 = 101,406/x
3. Step 3: Cross multiply
   59,540x = 101,406 × 101,406
4. Step 4: Simplify right side
   59,540x = 10,283,176,836
5. Step 5: Solve for x
   x = 10,283,176,836/59,540
6. Step 6: Final answer
   x = 172,710.39