Finding the Third Proportional to 77.38 and 110.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.38 : 110.25 = 110.25 : x
2. Step 2: Convert to fraction form
   77.38/110.25 = 110.25/x
3. Step 3: Cross multiply
   77.38x = 110.25 × 110.25
4. Step 4: Simplify right side
   77.38x = 12,155.06
5. Step 5: Solve for x
   x = 12,155.06/77.38
6. Step 6: Final answer
   x = 157.09