Finding the Third Proportional to 21,882 and 47,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,882 : 47,723.50 = 47,723.50 : x
2. Step 2: Convert to fraction form
   21,882/47,723.50 = 47,723.50/x
3. Step 3: Cross multiply
   21,882x = 47,723.50 × 47,723.50
4. Step 4: Simplify right side
   21,882x = 2,277,532,452.25
5. Step 5: Solve for x
   x = 2,277,532,452.25/21,882
6. Step 6: Final answer
   x = 104,082.46