Finding the Third Proportional to 51.50 and 101.88

Step by Step Solution

1. Step 1: Write the proportion equation
   51.50 : 101.88 = 101.88 : x
2. Step 2: Convert to fraction form
   51.50/101.88 = 101.88/x
3. Step 3: Cross multiply
   51.50x = 101.88 × 101.88
4. Step 4: Simplify right side
   51.50x = 10,378.52
5. Step 5: Solve for x
   x = 10,378.52/51.50
6. Step 6: Final answer
   x = 201.52