Finding the Third Proportional to 7,551.38 and 17,768.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,551.38 : 17,768.63 = 17,768.63 : x
2. Step 2: Convert to fraction form
   7,551.38/17,768.63 = 17,768.63/x
3. Step 3: Cross multiply
   7,551.38x = 17,768.63 × 17,768.63
4. Step 4: Simplify right side
   7,551.38x = 315,724,034.39
5. Step 5: Solve for x
   x = 315,724,034.39/7,551.38
6. Step 6: Final answer
   x = 41,810.14