Finding the Third Proportional to 31.56 and 65.58

Step by Step Solution

1. Step 1: Write the proportion equation
   31.56 : 65.58 = 65.58 : x
2. Step 2: Convert to fraction form
   31.56/65.58 = 65.58/x
3. Step 3: Cross multiply
   31.56x = 65.58 × 65.58
4. Step 4: Simplify right side
   31.56x = 4,300.11
5. Step 5: Solve for x
   x = 4,300.11/31.56
6. Step 6: Final answer
   x = 136.25