Finding the Third Proportional to 36,824 and 57,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,824 : 57,605.50 = 57,605.50 : x
2. Step 2: Convert to fraction form
   36,824/57,605.50 = 57,605.50/x
3. Step 3: Cross multiply
   36,824x = 57,605.50 × 57,605.50
4. Step 4: Simplify right side
   36,824x = 3,318,393,630.25
5. Step 5: Solve for x
   x = 3,318,393,630.25/36,824
6. Step 6: Final answer
   x = 90,114.97