Finding the Third Proportional to 10,260 and 21,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260 : 21,978 = 21,978 : x
2. Step 2: Convert to fraction form
   10,260/21,978 = 21,978/x
3. Step 3: Cross multiply
   10,260x = 21,978 × 21,978
4. Step 4: Simplify right side
   10,260x = 483,032,484
5. Step 5: Solve for x
   x = 483,032,484/10,260
6. Step 6: Final answer
   x = 47,079.19