Finding the Third Proportional to 20,197 and 31,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,197 : 31,003.50 = 31,003.50 : x
2. Step 2: Convert to fraction form
   20,197/31,003.50 = 31,003.50/x
3. Step 3: Cross multiply
   20,197x = 31,003.50 × 31,003.50
4. Step 4: Simplify right side
   20,197x = 961,217,012.25
5. Step 5: Solve for x
   x = 961,217,012.25/20,197
6. Step 6: Final answer
   x = 47,592.07