Finding the Third Proportional to 49,821 and 76,191

Step by Step Solution

1. Step 1: Write the proportion equation
   49,821 : 76,191 = 76,191 : x
2. Step 2: Convert to fraction form
   49,821/76,191 = 76,191/x
3. Step 3: Cross multiply
   49,821x = 76,191 × 76,191
4. Step 4: Simplify right side
   49,821x = 5,805,068,481
5. Step 5: Solve for x
   x = 5,805,068,481/49,821
6. Step 6: Final answer
   x = 116,518.51