Finding the Third Proportional to 19,824 and 41,594

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 41,594 = 41,594 : x
2. Step 2: Convert to fraction form
   19,824/41,594 = 41,594/x
3. Step 3: Cross multiply
   19,824x = 41,594 × 41,594
4. Step 4: Simplify right side
   19,824x = 1,730,060,836
5. Step 5: Solve for x
   x = 1,730,060,836/19,824
6. Step 6: Final answer
   x = 87,271.03