Finding the Third Proportional to 53.25 and 97.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 97.50 = 97.50 : x
2. Step 2: Convert to fraction form
   53.25/97.50 = 97.50/x
3. Step 3: Cross multiply
   53.25x = 97.50 × 97.50
4. Step 4: Simplify right side
   53.25x = 9,506.25
5. Step 5: Solve for x
   x = 9,506.25/53.25
6. Step 6: Final answer
   x = 178.52