Finding the Third Proportional to 45.47 and 97.31

Step by Step Solution

1. Step 1: Write the proportion equation
   45.47 : 97.31 = 97.31 : x
2. Step 2: Convert to fraction form
   45.47/97.31 = 97.31/x
3. Step 3: Cross multiply
   45.47x = 97.31 × 97.31
4. Step 4: Simplify right side
   45.47x = 9,469.72
5. Step 5: Solve for x
   x = 9,469.72/45.47
6. Step 6: Final answer
   x = 208.27