Finding the Third Proportional to 32,335 and 50,184

Step by Step Solution

1. Step 1: Write the proportion equation
   32,335 : 50,184 = 50,184 : x
2. Step 2: Convert to fraction form
   32,335/50,184 = 50,184/x
3. Step 3: Cross multiply
   32,335x = 50,184 × 50,184
4. Step 4: Simplify right side
   32,335x = 2,518,433,856
5. Step 5: Solve for x
   x = 2,518,433,856/32,335
6. Step 6: Final answer
   x = 77,885.69