Finding the Third Proportional to 21,974 and 32,478

Step by Step Solution

1. Step 1: Write the proportion equation
   21,974 : 32,478 = 32,478 : x
2. Step 2: Convert to fraction form
   21,974/32,478 = 32,478/x
3. Step 3: Cross multiply
   21,974x = 32,478 × 32,478
4. Step 4: Simplify right side
   21,974x = 1,054,820,484
5. Step 5: Solve for x
   x = 1,054,820,484/21,974
6. Step 6: Final answer
   x = 48,003.12