Finding the Third Proportional to 86.38 and 100.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86.38 : 100.25 = 100.25 : x
2. Step 2: Convert to fraction form
   86.38/100.25 = 100.25/x
3. Step 3: Cross multiply
   86.38x = 100.25 × 100.25
4. Step 4: Simplify right side
   86.38x = 10,050.06
5. Step 5: Solve for x
   x = 10,050.06/86.38
6. Step 6: Final answer
   x = 116.35