Finding the Third Proportional to 21,578 and 47,290

Step by Step Solution

1. Step 1: Write the proportion equation
   21,578 : 47,290 = 47,290 : x
2. Step 2: Convert to fraction form
   21,578/47,290 = 47,290/x
3. Step 3: Cross multiply
   21,578x = 47,290 × 47,290
4. Step 4: Simplify right side
   21,578x = 2,236,344,100
5. Step 5: Solve for x
   x = 2,236,344,100/21,578
6. Step 6: Final answer
   x = 103,640.01