Finding the Third Proportional to 21,819 and 47,562

Step by Step Solution

1. Step 1: Write the proportion equation
   21,819 : 47,562 = 47,562 : x
2. Step 2: Convert to fraction form
   21,819/47,562 = 47,562/x
3. Step 3: Cross multiply
   21,819x = 47,562 × 47,562
4. Step 4: Simplify right side
   21,819x = 2,262,143,844
5. Step 5: Solve for x
   x = 2,262,143,844/21,819
6. Step 6: Final answer
   x = 103,677.70