Finding the Third Proportional to 49,054.50 and 75,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,054.50 : 75,942.75 = 75,942.75 : x
2. Step 2: Convert to fraction form
   49,054.50/75,942.75 = 75,942.75/x
3. Step 3: Cross multiply
   49,054.50x = 75,942.75 × 75,942.75
4. Step 4: Simplify right side
   49,054.50x = 5,767,301,277.56
5. Step 5: Solve for x
   x = 5,767,301,277.56/49,054.50
6. Step 6: Final answer
   x = 117,569.26