Finding the Third Proportional to 31,020.50 and 49,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,020.50 : 49,408.50 = 49,408.50 : x
2. Step 2: Convert to fraction form
   31,020.50/49,408.50 = 49,408.50/x
3. Step 3: Cross multiply
   31,020.50x = 49,408.50 × 49,408.50
4. Step 4: Simplify right side
   31,020.50x = 2,441,199,872.25
5. Step 5: Solve for x
   x = 2,441,199,872.25/31,020.50
6. Step 6: Final answer
   x = 78,696.34