Finding the Third Proportional to 67.78 and 100.08

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 100.08 = 100.08 : x
2. Step 2: Convert to fraction form
   67.78/100.08 = 100.08/x
3. Step 3: Cross multiply
   67.78x = 100.08 × 100.08
4. Step 4: Simplify right side
   67.78x = 10,015.63
5. Step 5: Solve for x
   x = 10,015.63/67.78
6. Step 6: Final answer
   x = 147.76