Finding the Third Proportional to 50,839 and 76,659

Step by Step Solution

1. Step 1: Write the proportion equation
   50,839 : 76,659 = 76,659 : x
2. Step 2: Convert to fraction form
   50,839/76,659 = 76,659/x
3. Step 3: Cross multiply
   50,839x = 76,659 × 76,659
4. Step 4: Simplify right side
   50,839x = 5,876,602,281
5. Step 5: Solve for x
   x = 5,876,602,281/50,839
6. Step 6: Final answer
   x = 115,592.41