Finding the Third Proportional to 49,626 and 74,891.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,626 : 74,891.25 = 74,891.25 : x
2. Step 2: Convert to fraction form
   49,626/74,891.25 = 74,891.25/x
3. Step 3: Cross multiply
   49,626x = 74,891.25 × 74,891.25
4. Step 4: Simplify right side
   49,626x = 5,608,699,326.56
5. Step 5: Solve for x
   x = 5,608,699,326.56/49,626
6. Step 6: Final answer
   x = 113,019.37