Finding the Third Proportional to 37,590.75 and 49,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,590.75 : 49,688.25 = 49,688.25 : x
2. Step 2: Convert to fraction form
   37,590.75/49,688.25 = 49,688.25/x
3. Step 3: Cross multiply
   37,590.75x = 49,688.25 × 49,688.25
4. Step 4: Simplify right side
   37,590.75x = 2,468,922,188.06
5. Step 5: Solve for x
   x = 2,468,922,188.06/37,590.75
6. Step 6: Final answer
   x = 65,678.98