Finding the Third Proportional to 7,886.11 and 17,241.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,886.11 : 17,241.61 = 17,241.61 : x
2. Step 2: Convert to fraction form
   7,886.11/17,241.61 = 17,241.61/x
3. Step 3: Cross multiply
   7,886.11x = 17,241.61 × 17,241.61
4. Step 4: Simplify right side
   7,886.11x = 297,273,093.84
5. Step 5: Solve for x
   x = 297,273,093.84/7,886.11
6. Step 6: Final answer
   x = 37,695.79