Finding the Third Proportional to 50,971 and 77,034

Step by Step Solution

1. Step 1: Write the proportion equation
   50,971 : 77,034 = 77,034 : x
2. Step 2: Convert to fraction form
   50,971/77,034 = 77,034/x
3. Step 3: Cross multiply
   50,971x = 77,034 × 77,034
4. Step 4: Simplify right side
   50,971x = 5,934,237,156
5. Step 5: Solve for x
   x = 5,934,237,156/50,971
6. Step 6: Final answer
   x = 116,423.79