Finding the Third Proportional to 96.69 and 211.69

Step by Step Solution

1. Step 1: Write the proportion equation
   96.69 : 211.69 = 211.69 : x
2. Step 2: Convert to fraction form
   96.69/211.69 = 211.69/x
3. Step 3: Cross multiply
   96.69x = 211.69 × 211.69
4. Step 4: Simplify right side
   96.69x = 44,811.60
5. Step 5: Solve for x
   x = 44,811.60/96.69
6. Step 6: Final answer
   x = 463.47