Finding the Third Proportional to 36,003 and 53,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,003 : 53,629.50 = 53,629.50 : x
2. Step 2: Convert to fraction form
   36,003/53,629.50 = 53,629.50/x
3. Step 3: Cross multiply
   36,003x = 53,629.50 × 53,629.50
4. Step 4: Simplify right side
   36,003x = 2,876,123,270.25
5. Step 5: Solve for x
   x = 2,876,123,270.25/36,003
6. Step 6: Final answer
   x = 79,885.66