Finding the Third Proportional to 19,200 and 41,315

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 41,315 = 41,315 : x
2. Step 2: Convert to fraction form
   19,200/41,315 = 41,315/x
3. Step 3: Cross multiply
   19,200x = 41,315 × 41,315
4. Step 4: Simplify right side
   19,200x = 1,706,929,225
5. Step 5: Solve for x
   x = 1,706,929,225/19,200
6. Step 6: Final answer
   x = 88,902.56