Finding the Third Proportional to 32,077 and 50,385

Step by Step Solution

1. Step 1: Write the proportion equation
   32,077 : 50,385 = 50,385 : x
2. Step 2: Convert to fraction form
   32,077/50,385 = 50,385/x
3. Step 3: Cross multiply
   32,077x = 50,385 × 50,385
4. Step 4: Simplify right side
   32,077x = 2,538,648,225
5. Step 5: Solve for x
   x = 2,538,648,225/32,077
6. Step 6: Final answer
   x = 79,142.32