Finding the Third Proportional to 50,588.25 and 76,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,588.25 : 76,638.75 = 76,638.75 : x
2. Step 2: Convert to fraction form
   50,588.25/76,638.75 = 76,638.75/x
3. Step 3: Cross multiply
   50,588.25x = 76,638.75 × 76,638.75
4. Step 4: Simplify right side
   50,588.25x = 5,873,498,001.56
5. Step 5: Solve for x
   x = 5,873,498,001.56/50,588.25
6. Step 6: Final answer
   x = 116,104.00