Finding the Third Proportional to 74.89 and 100.64

Step by Step Solution

1. Step 1: Write the proportion equation
   74.89 : 100.64 = 100.64 : x
2. Step 2: Convert to fraction form
   74.89/100.64 = 100.64/x
3. Step 3: Cross multiply
   74.89x = 100.64 × 100.64
4. Step 4: Simplify right side
   74.89x = 10,128.54
5. Step 5: Solve for x
   x = 10,128.54/74.89
6. Step 6: Final answer
   x = 135.24