Finding the Third Proportional to 47.31 and 101.86

Step by Step Solution

1. Step 1: Write the proportion equation
   47.31 : 101.86 = 101.86 : x
2. Step 2: Convert to fraction form
   47.31/101.86 = 101.86/x
3. Step 3: Cross multiply
   47.31x = 101.86 × 101.86
4. Step 4: Simplify right side
   47.31x = 10,375.63
5. Step 5: Solve for x
   x = 10,375.63/47.31
6. Step 6: Final answer
   x = 219.32