Finding the Third Proportional to 48.09 and 101.53

Step by Step Solution

1. Step 1: Write the proportion equation
   48.09 : 101.53 = 101.53 : x
2. Step 2: Convert to fraction form
   48.09/101.53 = 101.53/x
3. Step 3: Cross multiply
   48.09x = 101.53 × 101.53
4. Step 4: Simplify right side
   48.09x = 10,308.59
5. Step 5: Solve for x
   x = 10,308.59/48.09
6. Step 6: Final answer
   x = 214.34