Finding the Third Proportional to 100.03 and 157.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.03 : 157.69 = 157.69 : x
2. Step 2: Convert to fraction form
   100.03/157.69 = 157.69/x
3. Step 3: Cross multiply
   100.03x = 157.69 × 157.69
4. Step 4: Simplify right side
   100.03x = 24,865.35
5. Step 5: Solve for x
   x = 24,865.35/100.03
6. Step 6: Final answer
   x = 248.58