Finding the Third Proportional to 53.50 and 92.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53.50 : 92.50 = 92.50 : x
2. Step 2: Convert to fraction form
   53.50/92.50 = 92.50/x
3. Step 3: Cross multiply
   53.50x = 92.50 × 92.50
4. Step 4: Simplify right side
   53.50x = 8,556.25
5. Step 5: Solve for x
   x = 8,556.25/53.50
6. Step 6: Final answer
   x = 159.93