Finding the Third Proportional to 31.88 and 56.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.88 : 56.69 = 56.69 : x
2. Step 2: Convert to fraction form
   31.88/56.69 = 56.69/x
3. Step 3: Cross multiply
   31.88x = 56.69 × 56.69
4. Step 4: Simplify right side
   31.88x = 3,213.47
5. Step 5: Solve for x
   x = 3,213.47/31.88
6. Step 6: Final answer
   x = 100.81