Finding the Third Proportional to 15,896 and 21,820

Step by Step Solution

1. Step 1: Write the proportion equation
   15,896 : 21,820 = 21,820 : x
2. Step 2: Convert to fraction form
   15,896/21,820 = 21,820/x
3. Step 3: Cross multiply
   15,896x = 21,820 × 21,820
4. Step 4: Simplify right side
   15,896x = 476,112,400
5. Step 5: Solve for x
   x = 476,112,400/15,896
6. Step 6: Final answer
   x = 29,951.71