Finding the Third Proportional to 100.01 and 110.82

Step by Step Solution

1. Step 1: Write the proportion equation
   100.01 : 110.82 = 110.82 : x
2. Step 2: Convert to fraction form
   100.01/110.82 = 110.82/x
3. Step 3: Cross multiply
   100.01x = 110.82 × 110.82
4. Step 4: Simplify right side
   100.01x = 12,282.18
5. Step 5: Solve for x
   x = 12,282.18/100.01
6. Step 6: Final answer
   x = 122.81