Finding the Third Proportional to 81.75 and 147.56

Step by Step Solution

1. Step 1: Write the proportion equation
   81.75 : 147.56 = 147.56 : x
2. Step 2: Convert to fraction form
   81.75/147.56 = 147.56/x
3. Step 3: Cross multiply
   81.75x = 147.56 × 147.56
4. Step 4: Simplify right side
   81.75x = 21,774.69
5. Step 5: Solve for x
   x = 21,774.69/81.75
6. Step 6: Final answer
   x = 266.36