Finding the Third Proportional to 37.25 and 78.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37.25 : 78.25 = 78.25 : x
2. Step 2: Convert to fraction form
   37.25/78.25 = 78.25/x
3. Step 3: Cross multiply
   37.25x = 78.25 × 78.25
4. Step 4: Simplify right side
   37.25x = 6,123.06
5. Step 5: Solve for x
   x = 6,123.06/37.25
6. Step 6: Final answer
   x = 164.38