Finding the Third Proportional to 50,871 and 77,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,871 : 77,170.50 = 77,170.50 : x
2. Step 2: Convert to fraction form
   50,871/77,170.50 = 77,170.50/x
3. Step 3: Cross multiply
   50,871x = 77,170.50 × 77,170.50
4. Step 4: Simplify right side
   50,871x = 5,955,286,070.25
5. Step 5: Solve for x
   x = 5,955,286,070.25/50,871
6. Step 6: Final answer
   x = 117,066.42