Finding the Third Proportional to 47.86 and 102.47

Step by Step Solution

1. Step 1: Write the proportion equation
   47.86 : 102.47 = 102.47 : x
2. Step 2: Convert to fraction form
   47.86/102.47 = 102.47/x
3. Step 3: Cross multiply
   47.86x = 102.47 × 102.47
4. Step 4: Simplify right side
   47.86x = 10,499.84
5. Step 5: Solve for x
   x = 10,499.84/47.86
6. Step 6: Final answer
   x = 219.39