Finding the Third Proportional to 47.74 and 99.35

Step by Step Solution

1. Step 1: Write the proportion equation
   47.74 : 99.35 = 99.35 : x
2. Step 2: Convert to fraction form
   47.74/99.35 = 99.35/x
3. Step 3: Cross multiply
   47.74x = 99.35 × 99.35
4. Step 4: Simplify right side
   47.74x = 9,870.73
5. Step 5: Solve for x
   x = 9,870.73/47.74
6. Step 6: Final answer
   x = 206.75