Finding the Third Proportional to 65.38 and 101.13

Step by Step Solution

1. Step 1: Write the proportion equation
   65.38 : 101.13 = 101.13 : x
2. Step 2: Convert to fraction form
   65.38/101.13 = 101.13/x
3. Step 3: Cross multiply
   65.38x = 101.13 × 101.13
4. Step 4: Simplify right side
   65.38x = 10,226.27
5. Step 5: Solve for x
   x = 10,226.27/65.38
6. Step 6: Final answer
   x = 156.42