Finding the Third Proportional to 49,594.50 and 75,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,594.50 : 75,559.50 = 75,559.50 : x
2. Step 2: Convert to fraction form
   49,594.50/75,559.50 = 75,559.50/x
3. Step 3: Cross multiply
   49,594.50x = 75,559.50 × 75,559.50
4. Step 4: Simplify right side
   49,594.50x = 5,709,238,040.25
5. Step 5: Solve for x
   x = 5,709,238,040.25/49,594.50
6. Step 6: Final answer
   x = 115,118.37