Finding the Third Proportional to 21,134 and 32,265

Step by Step Solution

1. Step 1: Write the proportion equation
   21,134 : 32,265 = 32,265 : x
2. Step 2: Convert to fraction form
   21,134/32,265 = 32,265/x
3. Step 3: Cross multiply
   21,134x = 32,265 × 32,265
4. Step 4: Simplify right side
   21,134x = 1,041,030,225
5. Step 5: Solve for x
   x = 1,041,030,225/21,134
6. Step 6: Final answer
   x = 49,258.55