Finding the Third Proportional to 49,828 and 72,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,828 : 72,823.50 = 72,823.50 : x
2. Step 2: Convert to fraction form
   49,828/72,823.50 = 72,823.50/x
3. Step 3: Cross multiply
   49,828x = 72,823.50 × 72,823.50
4. Step 4: Simplify right side
   49,828x = 5,303,262,152.25
5. Step 5: Solve for x
   x = 5,303,262,152.25/49,828
6. Step 6: Final answer
   x = 106,431.37