Finding the Third Proportional to 69.09 and 101.02

Step by Step Solution

1. Step 1: Write the proportion equation
   69.09 : 101.02 = 101.02 : x
2. Step 2: Convert to fraction form
   69.09/101.02 = 101.02/x
3. Step 3: Cross multiply
   69.09x = 101.02 × 101.02
4. Step 4: Simplify right side
   69.09x = 10,204.16
5. Step 5: Solve for x
   x = 10,204.16/69.09
6. Step 6: Final answer
   x = 147.69