Finding the Third Proportional to 21,591 and 47,182

Step by Step Solution

1. Step 1: Write the proportion equation
   21,591 : 47,182 = 47,182 : x
2. Step 2: Convert to fraction form
   21,591/47,182 = 47,182/x
3. Step 3: Cross multiply
   21,591x = 47,182 × 47,182
4. Step 4: Simplify right side
   21,591x = 2,226,141,124
5. Step 5: Solve for x
   x = 2,226,141,124/21,591
6. Step 6: Final answer
   x = 103,105.05