Finding the Third Proportional to 47,624 and 101,809

Step by Step Solution

1. Step 1: Write the proportion equation
   47,624 : 101,809 = 101,809 : x
2. Step 2: Convert to fraction form
   47,624/101,809 = 101,809/x
3. Step 3: Cross multiply
   47,624x = 101,809 × 101,809
4. Step 4: Simplify right side
   47,624x = 10,365,072,481
5. Step 5: Solve for x
   x = 10,365,072,481/47,624
6. Step 6: Final answer
   x = 217,643.89