Finding the Third Proportional to 47 and 100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47 : 100.50 = 100.50 : x
2. Step 2: Convert to fraction form
   47/100.50 = 100.50/x
3. Step 3: Cross multiply
   47x = 100.50 × 100.50
4. Step 4: Simplify right side
   47x = 10,100.25
5. Step 5: Solve for x
   x = 10,100.25/47
6. Step 6: Final answer
   x = 214.90