Finding the Third Proportional to 20,238.50 and 31,417

Step by Step Solution

1. Step 1: Write the proportion equation
   20,238.50 : 31,417 = 31,417 : x
2. Step 2: Convert to fraction form
   20,238.50/31,417 = 31,417/x
3. Step 3: Cross multiply
   20,238.50x = 31,417 × 31,417
4. Step 4: Simplify right side
   20,238.50x = 987,027,889
5. Step 5: Solve for x
   x = 987,027,889/20,238.50
6. Step 6: Final answer
   x = 48,769.81