Finding the Third Proportional to 100.13 and 114.47

Step by Step Solution

1. Step 1: Write the proportion equation
   100.13 : 114.47 = 114.47 : x
2. Step 2: Convert to fraction form
   100.13/114.47 = 114.47/x
3. Step 3: Cross multiply
   100.13x = 114.47 × 114.47
4. Step 4: Simplify right side
   100.13x = 13,103.09
5. Step 5: Solve for x
   x = 13,103.09/100.13
6. Step 6: Final answer
   x = 130.87