Finding the Third Proportional to 31,954 and 49,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,954 : 49,426.50 = 49,426.50 : x
2. Step 2: Convert to fraction form
   31,954/49,426.50 = 49,426.50/x
3. Step 3: Cross multiply
   31,954x = 49,426.50 × 49,426.50
4. Step 4: Simplify right side
   31,954x = 2,442,978,902.25
5. Step 5: Solve for x
   x = 2,442,978,902.25/31,954
6. Step 6: Final answer
   x = 76,452.99