Finding the Third Proportional to 50,101.88 and 77,643.56

Step by Step Solution

1. Step 1: Write the proportion equation
   50,101.88 : 77,643.56 = 77,643.56 : x
2. Step 2: Convert to fraction form
   50,101.88/77,643.56 = 77,643.56/x
3. Step 3: Cross multiply
   50,101.88x = 77,643.56 × 77,643.56
4. Step 4: Simplify right side
   50,101.88x = 6,028,522,797.69
5. Step 5: Solve for x
   x = 6,028,522,797.69/50,101.88
6. Step 6: Final answer
   x = 120,325.29