Finding the Third Proportional to 73,540 and 103,614

Step by Step Solution

1. Step 1: Write the proportion equation
   73,540 : 103,614 = 103,614 : x
2. Step 2: Convert to fraction form
   73,540/103,614 = 103,614/x
3. Step 3: Cross multiply
   73,540x = 103,614 × 103,614
4. Step 4: Simplify right side
   73,540x = 10,735,860,996
5. Step 5: Solve for x
   x = 10,735,860,996/73,540
6. Step 6: Final answer
   x = 145,986.69