Finding the Third Proportional to 46.88 and 83.56

Step by Step Solution

1. Step 1: Write the proportion equation
   46.88 : 83.56 = 83.56 : x
2. Step 2: Convert to fraction form
   46.88/83.56 = 83.56/x
3. Step 3: Cross multiply
   46.88x = 83.56 × 83.56
4. Step 4: Simplify right side
   46.88x = 6,982.69
5. Step 5: Solve for x
   x = 6,982.69/46.88
6. Step 6: Final answer
   x = 148.96