Finding the Third Proportional to 31.84 and 62.78

Step by Step Solution

1. Step 1: Write the proportion equation
   31.84 : 62.78 = 62.78 : x
2. Step 2: Convert to fraction form
   31.84/62.78 = 62.78/x
3. Step 3: Cross multiply
   31.84x = 62.78 × 62.78
4. Step 4: Simplify right side
   31.84x = 3,941.49
5. Step 5: Solve for x
   x = 3,941.49/31.84
6. Step 6: Final answer
   x = 123.78