Finding the Third Proportional to 37.34 and 76.15

Step by Step Solution

1. Step 1: Write the proportion equation
   37.34 : 76.15 = 76.15 : x
2. Step 2: Convert to fraction form
   37.34/76.15 = 76.15/x
3. Step 3: Cross multiply
   37.34x = 76.15 × 76.15
4. Step 4: Simplify right side
   37.34x = 5,798.58
5. Step 5: Solve for x
   x = 5,798.58/37.34
6. Step 6: Final answer
   x = 155.31