Finding the Third Proportional to 49,947 and 74,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,947 : 74,738.25 = 74,738.25 : x
2. Step 2: Convert to fraction form
   49,947/74,738.25 = 74,738.25/x
3. Step 3: Cross multiply
   49,947x = 74,738.25 × 74,738.25
4. Step 4: Simplify right side
   49,947x = 5,585,806,013.06
5. Step 5: Solve for x
   x = 5,585,806,013.06/49,947
6. Step 6: Final answer
   x = 111,834.67