Finding the Third Proportional to 21,978 and 32,484

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 32,484 = 32,484 : x
2. Step 2: Convert to fraction form
   21,978/32,484 = 32,484/x
3. Step 3: Cross multiply
   21,978x = 32,484 × 32,484
4. Step 4: Simplify right side
   21,978x = 1,055,210,256
5. Step 5: Solve for x
   x = 1,055,210,256/21,978
6. Step 6: Final answer
   x = 48,012.11