Finding the Third Proportional to 32,400 and 50,034

Step by Step Solution

1. Step 1: Write the proportion equation
   32,400 : 50,034 = 50,034 : x
2. Step 2: Convert to fraction form
   32,400/50,034 = 50,034/x
3. Step 3: Cross multiply
   32,400x = 50,034 × 50,034
4. Step 4: Simplify right side
   32,400x = 2,503,401,156
5. Step 5: Solve for x
   x = 2,503,401,156/32,400
6. Step 6: Final answer
   x = 77,265.47