Finding the Third Proportional to 20,178 and 21,810

Step by Step Solution

1. Step 1: Write the proportion equation
   20,178 : 21,810 = 21,810 : x
2. Step 2: Convert to fraction form
   20,178/21,810 = 21,810/x
3. Step 3: Cross multiply
   20,178x = 21,810 × 21,810
4. Step 4: Simplify right side
   20,178x = 475,676,100
5. Step 5: Solve for x
   x = 475,676,100/20,178
6. Step 6: Final answer
   x = 23,574.00