Finding the Third Proportional to 61.38 and 110.88

Step by Step Solution

1. Step 1: Write the proportion equation
   61.38 : 110.88 = 110.88 : x
2. Step 2: Convert to fraction form
   61.38/110.88 = 110.88/x
3. Step 3: Cross multiply
   61.38x = 110.88 × 110.88
4. Step 4: Simplify right side
   61.38x = 12,293.27
5. Step 5: Solve for x
   x = 12,293.27/61.38
6. Step 6: Final answer
   x = 200.30