Finding the Third Proportional to 11.50 and 29.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 29.50 = 29.50 : x
2. Step 2: Convert to fraction form
   11.50/29.50 = 29.50/x
3. Step 3: Cross multiply
   11.50x = 29.50 × 29.50
4. Step 4: Simplify right side
   11.50x = 870.25
5. Step 5: Solve for x
   x = 870.25/11.50
6. Step 6: Final answer
   x = 75.67