Finding the Third Proportional to 19.50 and 45.31

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 45.31 = 45.31 : x
2. Step 2: Convert to fraction form
   19.50/45.31 = 45.31/x
3. Step 3: Cross multiply
   19.50x = 45.31 × 45.31
4. Step 4: Simplify right side
   19.50x = 2,053.22
5. Step 5: Solve for x
   x = 2,053.22/19.50
6. Step 6: Final answer
   x = 105.29