Finding the Third Proportional to 49,771 and 77,066

Step by Step Solution

1. Step 1: Write the proportion equation
   49,771 : 77,066 = 77,066 : x
2. Step 2: Convert to fraction form
   49,771/77,066 = 77,066/x
3. Step 3: Cross multiply
   49,771x = 77,066 × 77,066
4. Step 4: Simplify right side
   49,771x = 5,939,168,356
5. Step 5: Solve for x
   x = 5,939,168,356/49,771
6. Step 6: Final answer
   x = 119,329.90