Finding the Third Proportional to 17,622.25 and 36,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,622.25 : 36,974.50 = 36,974.50 : x
2. Step 2: Convert to fraction form
   17,622.25/36,974.50 = 36,974.50/x
3. Step 3: Cross multiply
   17,622.25x = 36,974.50 × 36,974.50
4. Step 4: Simplify right side
   17,622.25x = 1,367,113,650.25
5. Step 5: Solve for x
   x = 1,367,113,650.25/17,622.25
6. Step 6: Final answer
   x = 77,578.84