Finding the Third Proportional to 65.38 and 100.31

Step by Step Solution

1. Step 1: Write the proportion equation
   65.38 : 100.31 = 100.31 : x
2. Step 2: Convert to fraction form
   65.38/100.31 = 100.31/x
3. Step 3: Cross multiply
   65.38x = 100.31 × 100.31
4. Step 4: Simplify right side
   65.38x = 10,062.60
5. Step 5: Solve for x
   x = 10,062.60/65.38
6. Step 6: Final answer
   x = 153.92