Finding the Third Proportional to 31,842 and 49,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 49,099.50 = 49,099.50 : x
2. Step 2: Convert to fraction form
   31,842/49,099.50 = 49,099.50/x
3. Step 3: Cross multiply
   31,842x = 49,099.50 × 49,099.50
4. Step 4: Simplify right side
   31,842x = 2,410,760,900.25
5. Step 5: Solve for x
   x = 2,410,760,900.25/31,842
6. Step 6: Final answer
   x = 75,710.10