Finding the Third Proportional to 57.69 and 100.06

Step by Step Solution

1. Step 1: Write the proportion equation
   57.69 : 100.06 = 100.06 : x
2. Step 2: Convert to fraction form
   57.69/100.06 = 100.06/x
3. Step 3: Cross multiply
   57.69x = 100.06 × 100.06
4. Step 4: Simplify right side
   57.69x = 10,012.50
5. Step 5: Solve for x
   x = 10,012.50/57.69
6. Step 6: Final answer
   x = 173.56