Finding the Third Proportional to 69.38 and 101.63

Step by Step Solution

1. Step 1: Write the proportion equation
   69.38 : 101.63 = 101.63 : x
2. Step 2: Convert to fraction form
   69.38/101.63 = 101.63/x
3. Step 3: Cross multiply
   69.38x = 101.63 × 101.63
4. Step 4: Simplify right side
   69.38x = 10,327.64
5. Step 5: Solve for x
   x = 10,327.64/69.38
6. Step 6: Final answer
   x = 148.87