Finding the Third Proportional to 50,851 and 76,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,851 : 76,933.50 = 76,933.50 : x
2. Step 2: Convert to fraction form
   50,851/76,933.50 = 76,933.50/x
3. Step 3: Cross multiply
   50,851x = 76,933.50 × 76,933.50
4. Step 4: Simplify right side
   50,851x = 5,918,763,422.25
5. Step 5: Solve for x
   x = 5,918,763,422.25/50,851
6. Step 6: Final answer
   x = 116,394.24