Finding the Third Proportional to 27,225 and 42,782

Step by Step Solution

1. Step 1: Write the proportion equation
   27,225 : 42,782 = 42,782 : x
2. Step 2: Convert to fraction form
   27,225/42,782 = 42,782/x
3. Step 3: Cross multiply
   27,225x = 42,782 × 42,782
4. Step 4: Simplify right side
   27,225x = 1,830,299,524
5. Step 5: Solve for x
   x = 1,830,299,524/27,225
6. Step 6: Final answer
   x = 67,228.63