Finding the Third Proportional to 21,530 and 47,210

Step by Step Solution

1. Step 1: Write the proportion equation
   21,530 : 47,210 = 47,210 : x
2. Step 2: Convert to fraction form
   21,530/47,210 = 47,210/x
3. Step 3: Cross multiply
   21,530x = 47,210 × 47,210
4. Step 4: Simplify right side
   21,530x = 2,228,784,100
5. Step 5: Solve for x
   x = 2,228,784,100/21,530
6. Step 6: Final answer
   x = 103,519.93