Finding the Third Proportional to 76.50 and 115.31

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 115.31 = 115.31 : x
2. Step 2: Convert to fraction form
   76.50/115.31 = 115.31/x
3. Step 3: Cross multiply
   76.50x = 115.31 × 115.31
4. Step 4: Simplify right side
   76.50x = 13,296.97
5. Step 5: Solve for x
   x = 13,296.97/76.50
6. Step 6: Final answer
   x = 173.82