Finding the Third Proportional to 50,969.25 and 77,031

Step by Step Solution

1. Step 1: Write the proportion equation
   50,969.25 : 77,031 = 77,031 : x
2. Step 2: Convert to fraction form
   50,969.25/77,031 = 77,031/x
3. Step 3: Cross multiply
   50,969.25x = 77,031 × 77,031
4. Step 4: Simplify right side
   50,969.25x = 5,933,774,961
5. Step 5: Solve for x
   x = 5,933,774,961/50,969.25
6. Step 6: Final answer
   x = 116,418.72