Finding the Third Proportional to 32,049 and 50,265

Step by Step Solution

1. Step 1: Write the proportion equation
   32,049 : 50,265 = 50,265 : x
2. Step 2: Convert to fraction form
   32,049/50,265 = 50,265/x
3. Step 3: Cross multiply
   32,049x = 50,265 × 50,265
4. Step 4: Simplify right side
   32,049x = 2,526,570,225
5. Step 5: Solve for x
   x = 2,526,570,225/32,049
6. Step 6: Final answer
   x = 78,834.60