Finding the Third Proportional to 10,076 and 21,884

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 21,884 = 21,884 : x
2. Step 2: Convert to fraction form
   10,076/21,884 = 21,884/x
3. Step 3: Cross multiply
   10,076x = 21,884 × 21,884
4. Step 4: Simplify right side
   10,076x = 478,909,456
5. Step 5: Solve for x
   x = 478,909,456/10,076
6. Step 6: Final answer
   x = 47,529.72