Finding the Third Proportional to 29.75 and 53.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29.75 : 53.50 = 53.50 : x
2. Step 2: Convert to fraction form
   29.75/53.50 = 53.50/x
3. Step 3: Cross multiply
   29.75x = 53.50 × 53.50
4. Step 4: Simplify right side
   29.75x = 2,862.25
5. Step 5: Solve for x
   x = 2,862.25/29.75
6. Step 6: Final answer
   x = 96.21