Finding the Third Proportional to 49,590 and 75,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,590 : 75,550.50 = 75,550.50 : x
2. Step 2: Convert to fraction form
   49,590/75,550.50 = 75,550.50/x
3. Step 3: Cross multiply
   49,590x = 75,550.50 × 75,550.50
4. Step 4: Simplify right side
   49,590x = 5,707,878,050.25
5. Step 5: Solve for x
   x = 5,707,878,050.25/49,590
6. Step 6: Final answer
   x = 115,101.39