Finding the Third Proportional to 9,666.84 and 13,098.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.84 : 13,098.38 = 13,098.38 : x
2. Step 2: Convert to fraction form
   9,666.84/13,098.38 = 13,098.38/x
3. Step 3: Cross multiply
   9,666.84x = 13,098.38 × 13,098.38
4. Step 4: Simplify right side
   9,666.84x = 171,567,427.64
5. Step 5: Solve for x
   x = 171,567,427.64/9,666.84
6. Step 6: Final answer
   x = 17,748.03