Finding the Third Proportional to 22.50 and 47.31

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 47.31 = 47.31 : x
2. Step 2: Convert to fraction form
   22.50/47.31 = 47.31/x
3. Step 3: Cross multiply
   22.50x = 47.31 × 47.31
4. Step 4: Simplify right side
   22.50x = 2,238.47
5. Step 5: Solve for x
   x = 2,238.47/22.50
6. Step 6: Final answer
   x = 99.49