Finding the Third Proportional to 47,538 and 103,896

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 103,896 = 103,896 : x
2. Step 2: Convert to fraction form
   47,538/103,896 = 103,896/x
3. Step 3: Cross multiply
   47,538x = 103,896 × 103,896
4. Step 4: Simplify right side
   47,538x = 10,794,378,816
5. Step 5: Solve for x
   x = 10,794,378,816/47,538
6. Step 6: Final answer
   x = 227,068.43