Finding the Third Proportional to 62.75 and 105.22

Step by Step Solution

1. Step 1: Write the proportion equation
   62.75 : 105.22 = 105.22 : x
2. Step 2: Convert to fraction form
   62.75/105.22 = 105.22/x
3. Step 3: Cross multiply
   62.75x = 105.22 × 105.22
4. Step 4: Simplify right side
   62.75x = 11,070.99
5. Step 5: Solve for x
   x = 11,070.99/62.75
6. Step 6: Final answer
   x = 176.43