Finding the Third Proportional to 7,569.98 and 17,681.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,569.98 : 17,681.48 = 17,681.48 : x
2. Step 2: Convert to fraction form
   7,569.98/17,681.48 = 17,681.48/x
3. Step 3: Cross multiply
   7,569.98x = 17,681.48 × 17,681.48
4. Step 4: Simplify right side
   7,569.98x = 312,634,889.70
5. Step 5: Solve for x
   x = 312,634,889.70/7,569.98
6. Step 6: Final answer
   x = 41,299.28