Finding the Third Proportional to 32,000 and 50,084

Step by Step Solution

1. Step 1: Write the proportion equation
   32,000 : 50,084 = 50,084 : x
2. Step 2: Convert to fraction form
   32,000/50,084 = 50,084/x
3. Step 3: Cross multiply
   32,000x = 50,084 × 50,084
4. Step 4: Simplify right side
   32,000x = 2,508,407,056
5. Step 5: Solve for x
   x = 2,508,407,056/32,000
6. Step 6: Final answer
   x = 78,387.72