Finding the Third Proportional to 50,184 and 61,416

Step by Step Solution

1. Step 1: Write the proportion equation
   50,184 : 61,416 = 61,416 : x
2. Step 2: Convert to fraction form
   50,184/61,416 = 61,416/x
3. Step 3: Cross multiply
   50,184x = 61,416 × 61,416
4. Step 4: Simplify right side
   50,184x = 3,771,925,056
5. Step 5: Solve for x
   x = 3,771,925,056/50,184
6. Step 6: Final answer
   x = 75,161.91