Finding the Third Proportional to 20,142 and 31,362.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 31,362.75 = 31,362.75 : x
2. Step 2: Convert to fraction form
   20,142/31,362.75 = 31,362.75/x
3. Step 3: Cross multiply
   20,142x = 31,362.75 × 31,362.75
4. Step 4: Simplify right side
   20,142x = 983,622,087.56
5. Step 5: Solve for x
   x = 983,622,087.56/20,142
6. Step 6: Final answer
   x = 48,834.38