Finding the Third Proportional to 69.16 and 100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   69.16 : 100.72 = 100.72 : x
2. Step 2: Convert to fraction form
   69.16/100.72 = 100.72/x
3. Step 3: Cross multiply
   69.16x = 100.72 × 100.72
4. Step 4: Simplify right side
   69.16x = 10,144.27
5. Step 5: Solve for x
   x = 10,144.27/69.16
6. Step 6: Final answer
   x = 146.69