Finding the Third Proportional to 15,824 and 37,320

Step by Step Solution

1. Step 1: Write the proportion equation
   15,824 : 37,320 = 37,320 : x
2. Step 2: Convert to fraction form
   15,824/37,320 = 37,320/x
3. Step 3: Cross multiply
   15,824x = 37,320 × 37,320
4. Step 4: Simplify right side
   15,824x = 1,392,782,400
5. Step 5: Solve for x
   x = 1,392,782,400/15,824
6. Step 6: Final answer
   x = 88,017.09