Finding the Third Proportional to 47,642 and 101,449

Step by Step Solution

1. Step 1: Write the proportion equation
   47,642 : 101,449 = 101,449 : x
2. Step 2: Convert to fraction form
   47,642/101,449 = 101,449/x
3. Step 3: Cross multiply
   47,642x = 101,449 × 101,449
4. Step 4: Simplify right side
   47,642x = 10,291,899,601
5. Step 5: Solve for x
   x = 10,291,899,601/47,642
6. Step 6: Final answer
   x = 216,025.77