Finding the Third Proportional to 40,228 and 62,642

Step by Step Solution

1. Step 1: Write the proportion equation
   40,228 : 62,642 = 62,642 : x
2. Step 2: Convert to fraction form
   40,228/62,642 = 62,642/x
3. Step 3: Cross multiply
   40,228x = 62,642 × 62,642
4. Step 4: Simplify right side
   40,228x = 3,924,020,164
5. Step 5: Solve for x
   x = 3,924,020,164/40,228
6. Step 6: Final answer
   x = 97,544.50