Finding the Third Proportional to 21,978 and 45,657

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 45,657 = 45,657 : x
2. Step 2: Convert to fraction form
   21,978/45,657 = 45,657/x
3. Step 3: Cross multiply
   21,978x = 45,657 × 45,657
4. Step 4: Simplify right side
   21,978x = 2,084,561,649
5. Step 5: Solve for x
   x = 2,084,561,649/21,978
6. Step 6: Final answer
   x = 94,847.65