Finding the Third Proportional to 0.31 and 0.69

Step by Step Solution

1. Step 1: Write the proportion equation
   0.31 : 0.69 = 0.69 : x
2. Step 2: Convert to fraction form
   0.31/0.69 = 0.69/x
3. Step 3: Cross multiply
   0.31x = 0.69 × 0.69
4. Step 4: Simplify right side
   0.31x = 0.47
5. Step 5: Solve for x
   x = 0.47/0.31
6. Step 6: Final answer
   x = 1.51