Finding the Third Proportional to 7,549 and 17,762.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,549 : 17,762.38 = 17,762.38 : x
2. Step 2: Convert to fraction form
   7,549/17,762.38 = 17,762.38/x
3. Step 3: Cross multiply
   7,549x = 17,762.38 × 17,762.38
4. Step 4: Simplify right side
   7,549x = 315,501,965.64
5. Step 5: Solve for x
   x = 315,501,965.64/7,549
6. Step 6: Final answer
   x = 41,793.88