Finding the Third Proportional to 47.46 and 100.62

Step by Step Solution

1. Step 1: Write the proportion equation
   47.46 : 100.62 = 100.62 : x
2. Step 2: Convert to fraction form
   47.46/100.62 = 100.62/x
3. Step 3: Cross multiply
   47.46x = 100.62 × 100.62
4. Step 4: Simplify right side
   47.46x = 10,123.82
5. Step 5: Solve for x
   x = 10,123.82/47.46
6. Step 6: Final answer
   x = 213.31