Finding the Third Proportional to 53.88 and 101.88

Step by Step Solution

1. Step 1: Write the proportion equation
   53.88 : 101.88 = 101.88 : x
2. Step 2: Convert to fraction form
   53.88/101.88 = 101.88/x
3. Step 3: Cross multiply
   53.88x = 101.88 × 101.88
4. Step 4: Simplify right side
   53.88x = 10,378.52
5. Step 5: Solve for x
   x = 10,378.52/53.88
6. Step 6: Final answer
   x = 192.64