Finding the Third Proportional to 70.75 and 100.56

Step by Step Solution

1. Step 1: Write the proportion equation
   70.75 : 100.56 = 100.56 : x
2. Step 2: Convert to fraction form
   70.75/100.56 = 100.56/x
3. Step 3: Cross multiply
   70.75x = 100.56 × 100.56
4. Step 4: Simplify right side
   70.75x = 10,112.82
5. Step 5: Solve for x
   x = 10,112.82/70.75
6. Step 6: Final answer
   x = 142.94