Finding the Third Proportional to 21,254 and 41,978

Step by Step Solution

1. Step 1: Write the proportion equation
   21,254 : 41,978 = 41,978 : x
2. Step 2: Convert to fraction form
   21,254/41,978 = 41,978/x
3. Step 3: Cross multiply
   21,254x = 41,978 × 41,978
4. Step 4: Simplify right side
   21,254x = 1,762,152,484
5. Step 5: Solve for x
   x = 1,762,152,484/21,254
6. Step 6: Final answer
   x = 82,909.22