Finding the Third Proportional to 21,195 and 32,066

Step by Step Solution

1. Step 1: Write the proportion equation
   21,195 : 32,066 = 32,066 : x
2. Step 2: Convert to fraction form
   21,195/32,066 = 32,066/x
3. Step 3: Cross multiply
   21,195x = 32,066 × 32,066
4. Step 4: Simplify right side
   21,195x = 1,028,228,356
5. Step 5: Solve for x
   x = 1,028,228,356/21,195
6. Step 6: Final answer
   x = 48,512.78