Finding the Third Proportional to 49,830 and 72,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,830 : 72,826.50 = 72,826.50 : x
2. Step 2: Convert to fraction form
   49,830/72,826.50 = 72,826.50/x
3. Step 3: Cross multiply
   49,830x = 72,826.50 × 72,826.50
4. Step 4: Simplify right side
   49,830x = 5,303,699,102.25
5. Step 5: Solve for x
   x = 5,303,699,102.25/49,830
6. Step 6: Final answer
   x = 106,435.86