Finding the Third Proportional to 49,680 and 75,162

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 75,162 = 75,162 : x
2. Step 2: Convert to fraction form
   49,680/75,162 = 75,162/x
3. Step 3: Cross multiply
   49,680x = 75,162 × 75,162
4. Step 4: Simplify right side
   49,680x = 5,649,326,244
5. Step 5: Solve for x
   x = 5,649,326,244/49,680
6. Step 6: Final answer
   x = 113,714.30